Journal
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Volume 56, Issue 1, Pages 184-193Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.4153/CMB-2011-163-4
Keywords
Finsler metric; S-curvature; non-Riemannian quantity
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Funding
- National Natural Science Foundation of China [NNSFC-10671214, NNSFC-10871171]
- Science Foundation of Ningbo [2008A610014]
- NSF [DMS-0810159]
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In this paper we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities play an important role in understanding the geometric properties of Finsler metrics. In particular, we study a new non-Riemannian quantity defined by the S-curvature. We show some relationships among the flag curvature, the S-curvature, and the new non-Riemannian quantity.
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