Finsler Conformal Lichnerowicz-Obata conjecture

By V. Matveev, H. Rademacher, Marc Troyanov, A. Zeghib. 2008

47 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/7087f68ee72641e8a85b1e80dd5855a91f6aeb36

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In Applied Mathematics

1. Marc Troyanov
2. V. Matveev
3. S. Benenti

In Astronomy and Astrophysics

1. Marc Troyanov
2. V. Matveev
3. S. Benenti

Citations in the corpus

• The Binet-Legendre Metric in Finsler Geometry (2011, methodology): “Note that besides the Binet–Legendre metric, we could use other procedures that associate a scalar product (or an ellipsoid) to a given convex body, such as the one based on the John or Löwner ellipsoid, or the constructions by Lutwak, Yang, and Zhang [30; 31], the authors, Rademacher and Zeghib [35”