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Tudor Zamfirescu

On the critical points of a Riemannian surface

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.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 6, 10/2006
Pages: 493 - 500

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