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Riemannian manifolds for which the identity is an ε -equilibrium map

✍ Scribed by Leonard Todjihounde

Book ID: 104358094
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 76 KB
Volume: 13
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(00)00029-2

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✦ Synopsis

In this paper we study geometric aspects of Riemannian manifolds for which the identity is an ε-equilibrium map for sufficiently small ε > 0. We mainly prove that compact connected Riemannian manifolds for which the identity is an ε-equilibrium map for sufficiently small ε > 0 are ball-homogeneous. We derive a sequence of necessary conditions on the volume density function of these manifolds.

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