Finsler Conformal Lichnerowicz-Obata conjecture

V. S. Matveev[1]; H.-B. Rademacher[2]; M. Troyanov[3]; A. Zeghib[4]

  • [1] Mathematisches Institut, Friedrich-Schiller Universität Jena 07737 Jena (Germany)
  • [2] Mathematisches Institut, Universität Leipzig, 04081 Leipzig (Germany)
  • [3] Section de Mathématiques, École Polytechnique Fédérale de Lausanne 1015 Lausanne (Switzerland)
  • [4] UMPA, ENS-Lyon, 46, allée d’Italie, 69364 Lyon Cedex 07 (France)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 3, page 937-949
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Matveev, V. S., et al. "Finsler Conformal Lichnerowicz-Obata conjecture." Annales de l’institut Fourier 59.3 (2009): 937-949. <http://eudml.org/doc/10424>.

@article{Matveev2009,
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.},
affiliation = {Mathematisches Institut, Friedrich-Schiller Universität Jena 07737 Jena (Germany); Mathematisches Institut, Universität Leipzig, 04081 Leipzig (Germany); Section de Mathématiques, École Polytechnique Fédérale de Lausanne 1015 Lausanne (Switzerland); UMPA, ENS-Lyon, 46, allée d’Italie, 69364 Lyon Cedex 07 (France)},
author = {Matveev, V. S., Rademacher, H.-B., Troyanov, M., Zeghib, A.},
journal = {Annales de l’institut Fourier},
keywords = {Finsler metric; conformal transformation},
language = {eng},
number = {3},
pages = {937-949},
publisher = {Association des Annales de l’institut Fourier},
title = {Finsler Conformal Lichnerowicz-Obata conjecture},
url = {http://eudml.org/doc/10424},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Matveev, V. S.
AU - Rademacher, H.-B.
AU - Troyanov, M.
AU - Zeghib, A.
TI - Finsler Conformal Lichnerowicz-Obata conjecture
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 3
SP - 937
EP - 949
AB - 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.
LA - eng
KW - Finsler metric; conformal transformation
UR - http://eudml.org/doc/10424
ER -

References

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