Open AccessOn Finsler metrics with vanishing S-curvature
Author(s) -
Akbar TAYABI,
H. Sadeghi,
E. Peyghan
Publication year - 2013
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1210-60
Subject(s) - mathematics , metric (unit) , finsler manifold , curvature , manifold (fluid mechanics) , ricci curvature , pure mathematics , mathematical analysis , scalar curvature , geometry , mechanical engineering , operations management , economics , engineering
In this paper, we consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We study these metrics with vanishing S-curvature. We find some conditions under which such a Finsler metric is Berwaldian or locally Minkowskian.
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