Vladimir S. Matveev, “On the dimension of the group of projective transformations of closed randers and Riemannian manifolds”, SIGMA, 2012, Volume 8,007, 4 pp.

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On the dimension of the group of projective transformations of closed randers and Riemannian manifolds

Vladimir S. Matveev

Institute of Mathematics, Friedrich-Schiller-Universität Jena, 07737 Jena, Germany

Abstract: We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages].

Keywords: Finsler metrics, Randers metrics, projective transformations.

MSC: 53C60; 53B40; 53A20

Received: January 18, 2012; in final form February 21, 2012; Published online February 23, 2012

Language: English

DOI: 10.3842/SIGMA.2012.007