Diagonal lift in the tensor bundle and its applications

被引：21

作者：

Cengiz, N ^{[1
]}

Salimov, AA ^{[1
]}

机构：

[1] Ataturk Univ, Fac Arts & Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 142卷 / 2-3期

关键词：

tensor bundle; Riemannian metric; diagonal lift; Levi-Civita connection; killing vector field;

D O I：

10.1016/S0096-3003(02)00305-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to define a diagonal lift (D)g of a Riemannian metric g of a manifold M-n to the tensor bundle T-q(l)(M-n) of M-n, to associate with (D)g an Levi-Civita connection of T-q(l)(M-n) in a natural way and to investigate applications of the diagonal lifts. (C) 2002 Published by Elsevier Science Inc.

引用

页码：309 / 319

页数：11