SOME RESULTS ON THE NON-RIEMANNIAN QUANTITY H OF A FINSLER METRIC
SOME RESULTS ON THE NON-RIEMANNIAN QUANTITY H OF A FINSLER METRIC
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DOI：
10.1142/s0129167x11007082
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发表时间：
2011-07
影响因子：
0.6
通讯作者：
Qiaoling Xia
中科院分区：
文献类型：
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作者：
Qiaoling Xia
本文研究了非黎曼量H在非斯勒几何中的应用。我们得到了紧化Finsler流形在与H有关的某些条件下的刚性定理，并证明了当且仅当H几乎消失时，兰德斯度规的s曲率几乎是各向同性的。特别地，s曲率是各向同性的当且仅当H = 0。
In this paper, we study the non-Riemannian quantity H in Finsler geometry. We obtain some rigidity theorems of a compact Finsler manifold under some conditions related to H. We also prove that the S-curvature for a Randers metric is almost isotropic if and only if H almost vanishes. In particular, S-curvature is isotropic if and only if H = 0.