Finsler Conformal Lichnerowicz-Obata conjecture
[La conjecture de Lichnerowicz-Obata sur les transformations conformes des variétés Finslériennes]
Matveev, V. S. ; Rademacher, H.-B. ; Troyanov, M. ; Zeghib, A.
Annales de l'Institut Fourier, Tome 59 (2009), p. 937-949 / Harvested from Numdam
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Nous démontrons une variante de la conjecture de Lichnerowicz-Obata sur les transformations conformes des variétés finslériennes. Plus précisément, un champ de vecteurs conforme complet et essentiel sur une variété finslérienne non-riemannienne, est un champ homothétique sur un espace vectoriel normé.

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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/aif.2452
Classification:  58b20,  53c60
Mots clés: métrique finslérienne, transformation conforme 
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     author = {Matveev, V. S. and Rademacher, H.-B. and Troyanov, M. and Zeghib, A.},
     title = {Finsler Conformal Lichnerowicz-Obata conjecture},
     journal = {Annales de l'Institut Fourier},
     volume = {59},
     year = {2009},
     pages = {937-949},
     doi = {10.5802/aif.2452},
     zbl = {1179.53075},
     mrnumber = {2543657},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2009__59_3_937_0}
}

Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A. Finsler Conformal Lichnerowicz-Obata conjecture. Annales de l'Institut Fourier, Tome 59 (2009) pp. 937-949. doi : 10.5802/aif.2452. http://gdmltest.u-ga.fr/item/AIF_2009__59_3_937_0/

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