Harmonic vector fields on Finsler manifolds

被引：1
|
作者：
Shahi, Alireza [1 ]
Bidabad, Behroz [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran, Iran
来源：
COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 01期
关键词：
Finsler manifolds; Harmonic vector fields; Landsberg;
D O I：
10.1016/j.crma.2015.10.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (M, F) be a compact boundaryless Finsler manifold. In this work, a sufficient condition for a vector field on (M, F) to be harmonic is obtained. Next the harmonic vector fields on Finsler manifolds are characterized and an upper bound for the first horizontal de Rham cohomology group of the sphere bundle SM is obtained. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：101 / 106
页数：6
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