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.
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页码：397 / 408
页数：12
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