
University of
Leeds School of Maths
Pure Maths J.C.
Wood
John C. Wood Research Papers
 A theorem on injectivity of the cup product, Proc . Amer.
Math. Soc. 37 (1973) 301304. MR 46#6359, Zbl.245.55008.
 Harmonic maps between surfaces, Thesis, University of
Warwick, 1974.
 Harmonic maps and complex analysis, Proc. Summer Course in
Complex Analysis, Trieste, 1975 (IAEA, Vienna, 1976) vol. III, 289308.
MR 58#31207. Zbl.346.53030.
 Singularities of harmonic maps and applications of the
GaussBonnet formula, Amer. J. Math. 99 (1977), 13291344
and 101 (1979), 633. MR 58#18539 and 80m:58014,
Zbl.375.35022.
 (with J. Eells) Restrictions on harmonic maps of surfaces,
Topology 15 (1976), 263266. MR 54#8270, Zbl.328.58008.
 A note on the fundamental group of a manifold of negative
curvature, Math. Proc. Camb. Phil. Soc. 83 (1978), 415417.
MR 58#13158, Zbl.374.53017.
 Holomorphicity of certain harmonic maps from a surface to complex
projective nspace, J. London Math. Soc. (2) 20 (1979),
137142. MR 81c:58034. Zbl.407.58026.
 An extension theorem for holomorphic mappings, Math. Proc.
Camb. Phil. Soc. 88 (1980), 125127 and 94 (1983), 189.
MR 82d:32091 and 84g:32042, Zbl.447.32004 and 514.32010.
 On the holomorphicity of harmonic maps from a surface, Global
Differential Geometry and Global Analysis, Proceedings, Berlin, 1979,
Lect. Notes in Math. 838, SpringerVerlag (1981), 239242. MR
82m:58027, Zbl.437.58006.
 (with J. Eells) Maps of minimum energy, J. London Math. Soc.
(2) 23 (1981),303310. MR 83f:58031, Zbl.451.58014.
 Conformality and holomorphicity of certain harmonic maps,
University of Leeds, preprint (1981).
 (with L. Lemaire) An introduction to analysis on complex
manifolds, Complex Analysis, Proceedings, Trieste 1980, Lect. Notes
in Math. 950 (1982), 12109. MR 83j:58006, Zbl.501.32007.
 Some aspects of harmonic maps from a surface to complex
projective space, Differential Geometry and Mathematical Physics,
ed. M. Cahen et al., D. Reidel (1983), 177186, Zbl.508.58013.
 (with J. Eells) The existence and construction of certain
harmonic maps, Symp. Math. 26 (1982), 124138. MR 83i:58032,
Zbl.488.58008.
 (with J. Eells) Harmonic maps from surfaces to complex projective
spaces, Advances in Math. 49 (1983), 217263. MR 85f:58029,
Zbl.528.58007.
 (with S. Erdem) On the construction of harmonic maps into a
Grassmannian, J. London Math. Soc.(2) 28 (1983), 161174. MR
85j:58044, Zbl.509.58018.
 Holomorphic differentials and classification theorems for
harmonic maps and minimal immersions, Global Riemannian Geometry,
ed. T.J. Willmore and N.J. Hitchin, Ellis Horwood (1984), 168175. MR
86i:58034, Zbl.615.53051.
 Nonexistence of solutions to certain Dirichlet problems for
harmonic maps, University of Leeds preprint (1981).
 (with H. Karcher) Nonexistence results and growth properties for
harmonic maps and forms, J. Reine u. Angew. Math. 353 (1984),
165180; MR 86g:58039, Zbl.544.58008.
 On the Gauss map of a harmonic morphism, Differential
Geometry, ed. L.A. Cordero, Research Notes in Mathematics 131,
Pitman (1985), 149155. MR 88b:58041, Zbl.648.58010.
 Harmonic morphisms, foliations and Gauss maps, Proceedings of
the AMSIMSSIAM Summer Research Conference in Complex Differential
Geometry, 1984, ed. Y.T. Siu, Contemporary Mathematics 49,
American Mathematical Society (1986), 145183. MR 87i:58045,
Zbl.592.53020.
 (with F. Burstall) The construction of harmonic maps into complex
Grassmannians, J. Diff. Geom. 23 (1986), 255298. MR
88i:58038, Zbl.588.58018.
 Twistor constructions for harmonic maps, Differential
Geometry and Differential Equations (Proceedings, Shanghai, 1985), ed.
Gu Chaohao, M. Berger and R.L. Bryant, Lect. Notes in Math. 1255,
SpringerVerlag (1987), 130159. MR 88i:58041, Zbl.621.58009.
 The explicit construction and parametrization of all harmonic
maps from the twosphere to a complex Grassmannian, J. Reine u.
Angew. Math. 386 (1988), 131 and 397 (1989), 220. MR
89f:58045 and 90b:58054, Zbl.633.58016 and 666.58018.
 On the explicit construction and parametrization of all harmonic
maps from the twosphere to a complex Grassmannian, Harmonic
mappings, twistors and sigmamodels, ed. P. Gauduchon, Advanced Series
in Mathematical Physics Vol. 4, World Scientific (1988),
246260. MR 90f:58044, Zbl.633.58016.
 (with P. Baird) Bernstein theorems for harmonic morphisms from
R^{3} and S^{3}, Math. Ann. 280
(1988), 579603. MR 90e:58027. Zbl.621.58011.
 Explicit construction and parametrization of harmonic twospheres
in the unitary group, Proc. London Math. Soc. (3) 58 (1989),
608624; MR 90k:58055, Zbl.679.58015.
 (with A. BahyElDien) The explicit construction of all harmonic
twospheres in G_{2}(R^{n}), J. Reine u.
Angew. Math. 398 (1989), 3666. MR 90h:58019,
Zbl.665.58009.
 (with P. Baird) A spinor formulation for harmonic morphisms,
Twistor Newsletter, 31 (1990), 2937.
 (with P. Baird) Harmonic morphisms and conformal foliations by
geodesics of threedimensional space forms, J. Austral. Math. Soc.
(A) 51 (1991), 118153. MR 92k:53048, Zbl.744.53013.
 (with A. BahyElDien) The explicit construction of all harmonic
twospheres in quaternionic projective spaces, Proc. London Math.
Soc. (3) 62 (1991) 202224. MR 91k:58021, Zbl.679.58019.
 (with P. Baird) Harmonic morphisms, Seifert fibre spaces and
conformal foliations, Proc. London Math. Soc. (3) 64
(1992),170196; MR 93c:58051, Zbl.755.58019.
 (with S. Dragomir) Sottovarietà minimali ed appl icazioni
armoniche, (167 pp.) Quaderni dell'Unione Matematica Italiana
35, Pitagore Editrice, Bologna 1989.
 Harmonic morphisms, conformal foliations and Seifert f ibre
spaces, Geometry of Low Dimensional Manifolds, ed. S.K. Donaldson
and C.B. Thomas, L.M.S. Lecture Notes 150, Cambridge University
Press (1990), vol. 1, 247259. MR 93d:57023, Zbl.728.58009.
 Lewy's theorem fails in higher dimensions, Math. Scand.
69 (1991),166. MR 93a:58024, Zbl.755.31004.
 (with P. Baird) The geometry of a pair of Riemannian foliations
by geodesics and associated harmonic morphisms, Bull. Soc. Math.
Belg. Ser. B 44 (1992), 115139. MR 96c:58043,
Zbl.762.53022.
 Harmonic morphisms and Hermitian structures on Einstein
4manifolds, Internat. J. Math. 3 (1992), 415439. MR
94a:58054, Zbl.763.53051.
 (with S. Gudmundsson) Multivalued harmonic morphisms, Math.
Scand. 73 (1993), 127155. MR 95h:58038, Zbl.790.58009.
 (with P. Baird) Monopoles, harmonic morphisms and spinor
fields, Further Advances in Twistor Theory: Vol. II: Integrable
systems, conformal geometry and gravitation, ed. L.J. Mason, L.P.
Hughston and P.Z. Kobak, Pitman Research Notes in Math. 232,
Longman (1995), 4962. MR 97m:83067. Zbl.828.53070.
 Harmonic maps and harmonic morphisms, Zap. Nauchn. Semin.
POMI 234, 190200, reprinted in J. Math. Sci., New York 94, No.2,
12631269 (1999). MR 2002f:58019, Zbl.932.58021.
 Harmonic morphisms between Riemannian manifolds, Report of
the first MSJ International Research Institute, July 1223, Tohôku
University, Sendai, Japan, ed. T. Kotake, S. Nishikawa, R. Shoen, Tohoku
University, 1993, 413422. MR 96k:58066, Zbl.913.58013.
 (with A. Fordy) editors, Harmonic maps and integrable
systems, Aspects of Mathematics E23, Vieweg, Braunschweig,
Wiesbaden, 1994, (329pp.). MR 95m:58047. Zbl.788.00063.
Out of
print. Click
here to obtain page of contents from which all chapters may be
downloaded.
 Harmonic maps into symmetric spaces and integrable systems,
in [42], 2955, Zbl.804.58013.
 (with P. Baird) Hermitian structures and harmonic morphisms on
higher dimensional Euclidean spaces, Internat. J. Math. 6
(1995), 161192; MR 96a:58068, Zbl.823.58010.
 (with L. Lemaire) On the space of harmonic 2spheres in
CP^{2}, Internat. J. Math. 7 (1996), 211225.
MR 97h:58048, Zbl.865.58013.
 (with S. Gudmundsson) Harmonic morphisms between almost Hermitian
manifolds, Boll. Un. Mat. Italiana (7) 11B, (1997), Suppl.
fasc. 2, 185197; MR 98i:58069, Zbl.879.53023.
 (with Y.L. Ou) On the classification of quadratic harmonic
morphisms between Euclidean spaces, Algebras, Groups and Geometries
13 (1996), 4153. MR 97d:58063, Zbl.872.58022.
 (with P. Baird) Weierstrass representations for harmonic
morphisms on Euclidean spaces and spheres, Math. Scand. 81
(1997), 283300; MR 99g:58032, Zbl.933.58015.
 (with P.Baird) Harmonic morphisms, conformal foliations and
shearfree ray congruences, Bull. Belg. Math. Soc. 5 (1998),
549564; MR 2000d:53098, Zbl.930.53043.
For a revised and
expanded version, see no 64 below.
 (with M.T. Mustafa) Harmonic morphisms from threedimensional
Euclidean and spherical space forms, Algebras Groups Geom. 15
(1998), 155172. MR 99k:58049, Zbl.0996.58015.
 Harmonic Maps and Morphisms in 4 Dimensions, Geometry,
Topology and Physics Proceedings of the First BrazilUSA Workshop,
Campinas, Brazil, June 30  July 7, 1996, B.N. Apanasov, S.B. Bradlow,
W.A. Rodrigues, K.K. Uhlenbeck (Editors), Walter de Gruyter & Co,
Berlin, New York (1997), 317333. MR 99b:58067, Zbl.0958.53049.
 (with C.K. Anand, P. Baird, E. Loubeau, eds), Harmonic morphisms,
harmonic maps and related topics (Brest 1997), Pitman Research Notes
in Mathematics, CRC Press (2000). MR 2000j:53001, Zbl.0927.00036.
 On the construction of harmonic morphisms from Euclidean
spaces, in [52], pp. 4760. MR 2001c:53091, Zbl.0960.53037.
Pdf file
 The geometry of harmonic maps and morphisms, in: Proceedings
of the Fourth International Workshop on Differential Geometry and its
Applications, Brasov, Romania, September 1622, 1999, ed. G. Pitts and
G. Munteanu, Transilvania University Press (1999) pp. 306313.
dvi
file  Postscript
file  Pdf
file  Latex
file
 (with S. Montaldo) Harmonic morphisms and the Jacobi
operator, Rend. Sem. Fac. Sci. Univ. Cagliari 70 (2000),
2128. MR 2002m:53104.
Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 (with R. Pantilie) New results on harmonic morphisms with
onedimensional fibres, Bull. Math. Soc. Sci. Math. Roumanie 43
, volume in the memory of G. Vranceanu (2000), 355365. MR
2002b:53107; Zbl 1049.58022.
Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 (with R. Pantilie) Topological restrictions for circle actions
and harmonic morphisms, Manuscripta Math. 110 (2003),
351364; MR1969006; Zbl 1026.58016.
Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 Jacobi fields along harmonic maps, in: Differential Geometry
and Integrable Systems, Contemp. Math. 308 (2002), 329340;
MR1955646 (2004f:53079); Zbl 1033.58016. Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 (with L. Lemaire) Jacobi fields along harmonic 2spheres in
CP^{2} are integrable, J. London Math. Soc.
66 (2002), 468486; MR 2003k:58022; Zbl 1019.53029. Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 (with R. Pantilie) Harmonic morphisms with onedimensional fibres
on Einstein manifolds, Trans. Amer. Math. Soc. 354 (2002),
42294243; MR 2003g:53112; Zbl 1010.58013. Formats:dvi file
 Postscript
file  Pdf file
 Latex
file
 (with R. Pantilie) A new construction of Einstein selfdual
metrics, Asian J. Math. 6 (2002), 337348; MR 2003g:53067.
Formats:dvi
file  Postscript
file  Pdf
file  Latex
file
 (with P. Baird) Harmonic morphisms between Riemannian
manifolds, London Math. Soc. Monogr. (N.S.), No. 29, Oxford Univ.
Press (2003). click
here for details. MR2044031 (2005b:53101); Zbl 1055.53049.
 (with R. Pantilie) Twistorial harmonic morphisms with
onedimensional fibres on selfdual fourmanifolds, Quart. J. Math. 57
(2006), 105132. Abstract
with link to article 
A minor typographical error
 (with P. Baird) Harmonic morphisms and shearfree ray
congruences. Revised and expanded version of 49 above.
Formats:dvi file
(no diagrams)  Postscript
file  Pdf file
(no diagrams)
 Harmonic morphisms between Riemannian manifolds,
in: Modern Trends in Geometry and Topology Deva, 511 September 2005, ed. Dorin Andrica, Paul A. Blaga and Sergiu Moroianu, Cluj University Press, 2006, pp. 397414. (Expository article for the Seventh International Conference on Differential Geometry and its Applications.)
Formats: Postscript
file  Pdf
file
 Infinitesimal Deformations of Harmonic Maps and Morphisms, in:
International Journal of Geometric Methods in Modern Physics, 3, Nos. 56 (2006), 933956.
Special Issue: Proceedings of the International Congress on Symmetry in Geometry and Physics in honour of Dmitri V. Alekseevsky (Rome, Italy, 14 to 17 September 2005).
Formats: Pdf
file 
The conference proceedings
Please email me for pdf file of published version.
 (with F. Hélein) Harmonic maps Survey article for Handbook of Global Analysis, Elsevier (2007).
 Infinitesimal deformations of harmonic maps (Revised version, 25 September 2007) Proceedings of the XV International Workshop on Geometry and Physics,
Puerto de la Cruz, Tenerife, Canary Islands, Spain, September 1116, 2006, Publ. de la RSME, 10 (2007), 105115.
Publ. de la RSME
 (with P. Baird)
Harmonic maps from Minkowski space and hyperbolic numbers,
Bull. Math. Soc. Sci. Math. Roumanie 52 (100), No. 3 (2009), 195209; Addendum 55 (103), No. 3 (2012), 341. Issue dedicated to Professor S. Ianus on the occasion of his 70th birthday.
 (with L. Lemaire) Jacobi fields along harmonic 2spheres in S^{3} and S^{4} are not all integrable, Tohoku Math. J. 61 (2009) 165204.
 (with J. Bolton and L. Fernández) Some Recent Developments in the study of minimal
2spheres in spheres, Surikaisekikenkyusho kokyuroku (Research Notes) No. 1605, "Geometry related to the theory of integrable systems", Research Institute of Mathematical Science,
Kyoto Univerisity (2008), 151—169.
 (with M.J. Ferreira and B.A. Simões) All harmonic 2spheres in the unitary group, completely explicitly, Math. Z. 266 (2010), 953978.

Explicit Constructions of Harmonic Maps, in:
Harmonic Maps and Differential Geometry, ed. E. Loubeau and S. Montaldo,
Contemporary Mathematics, vol. 542,
American Mathematical Society, 2011, 4174.
 (with M. Svensson) Filtrations, factorizations and explicit formulae for harmonic maps, Comm. Math. Phys. 310 (2012), 99134.
 (with P. Baird) Harmonic morphisms and bicomplex manifolds, J. Geom. Phys.,
61 (2011), 4661.
 (with M. Svensson) New constructions of twistor lifts for harmonic maps,
Man. Math. 44 (2014), 457502.
 (with M. Svensson) Harmonic maps into the exceptional symmetric space G_2/SO(4),
J. London Math. Soc. 91 (2015), 291319;
first published online December 18, 2014 doi:10.1112/jlms/jdu073.
 (with M.J. Ferreira and B.A. Simões)
Harmonic maps into the orthogonal group and null curves,
preprint (2018).
[ University of
Leeds] [ School of Maths]
[ Pure Maths] [ J.C.
Wood] This page is maintained by
J.C. Wood
Last updated: 25 April 2013
