Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold

被引：1

作者：

Fattayev, Habil ^{[1
]}

机构：

[1] Baku State Univ, Fac Mech & Math, Dept Algebra & Geometry, AZ-1148 Baku, Azerbaijan

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2021年 / 14卷 / 04期

关键词：

linear coframe bundle; adapted frame; diagonal lift; f-structure; integrability; parallelizm; LIFTS;

D O I：

10.3251/asetmj/1932200815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct f-structures F-alpha, 1 <= alpha <= n , (F) over tilde and (F) over bar on the linear coframe bundle F* (M) of the Riemannian manifold M. It is proved that these structures are adapted with the diagonal lift (D) g of the Riemannian metric g of the manifold M into the linear coframe bundle F*(M). Also we study the integrability and parallelism of the f-structures F-alpha, 1 <= alpha <= n, (F) over tilde and (F) over bar.

引用

页码：81 / 95

页数：15

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