Finsler conformal Lichnerowicz-Obata conjecture

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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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Matveev, V. S., Rademacher, H. B., Troyanov, M., & Zeghib, A. (2009). Finsler conformal Lichnerowicz-Obata conjecture. Annales de l’Institut Fourier, 59(3), 937–949. https://doi.org/10.5802/aif.2452

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