Canonical-type connection on almost contact manifolds with B-metric

被引：15

作者：

Manev, Mancho ^{[1
]}

Ivanova, Miroslava ^{[1
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Fac Math & Informat, Dept Algebra & Geometry, Plovdiv 4003, Bulgaria

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2013年 / 43卷 / 04期

关键词：

Almost contact manifold; B-metric; Natural connection; Canonical connection; Conformal transformation; Torsion tensor; NATURAL CONNECTIONS; TORSION;

D O I：

10.1007/s10455-012-9351-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The canonical-type connection on the almost contact manifolds with B-metric is constructed. It is proved that its torsion is invariant with respect to a subgroup of the general conformal transformations of the almost contact B-metric structure. The basic classes of the considered manifolds are characterized in terms of the torsion of the canonical-type connection.

引用

页码：397 / 408

页数：12

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