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On the critical points of a Riemannian surface
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Tudor Zamfirescu
Published/Copyright:
October 16, 2006
Abstract
We show that all critical points with respect to a point on a Riemannian surface lie on a subset of the cut locus which is locally a tree and has relatively few endpoints. Moreover, we offer some inequalities involving the length of the set of critical points.
Received: 2005-01-31
Published Online: 2006-10-16
Published in Print: 2006-10-01
© Walter de Gruyter
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Articles in the same Issue
- On the critical points of a Riemannian surface
- The extrinsic polyharmonic map heat flow in the critical dimension
- Shult sets and translation ovoids of the Hermitian surface
- Classification of generalized polarized manifolds by their nef values
- Fano manifolds of coindex four as ample sections
- Groups generated by affine perspectivities
- Definability results for the Poisson equation
- Jung's theorem for a pair of Minkowski spaces
