Dr Sheila Carter

Details
E-mail address:
Telephone:
Department:
Research Group:
S.Carter@leeds.ac.uk
(0113) 343 5147
Pure Mathematics
Differential Geometry

Research Interests

Curvature properties of submanifolds

The focal set of a submanifold of Euclidean space is the generalisation of the set of centres of curvature of a plane curve. There is a strong link between properties of this focal set and the geometry and topology of the submanifold. This group investigates these links. Currently we are investigating the existence of parallel submanifolds which all have the same focal set but which are embedded in different ways. We are also interested in generalising results about tight, taut, isoparametric and Chen submanifolds of Euclidean space to submanifolds of other spaces such as spheres or symmetric spaces.


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