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arXiv · 0802.3309

Finsler conformal Lichnerowicz-Obata conjecture

Vladimir S. Matveev·Hans-Bert Rademacher·Marc Troyanov·Abdelghani Zeghib
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Abstract

We prove the Finsler analog of the conformal Lichnerowicz-Obata conjecture showing that a complete and essential conformal vector field on a non-Riemannian Finsler manifold is a homothetic vector field of a Minkowski metric.

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Vladimir S. Matveev, Hans-Bert Rademacher, Marc Troyanov, Abdelghani Zeghib. 2008-10-06. Finsler conformal Lichnerowicz-Obata conjecture. https://arxiv.org/abs/0802.3309

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