NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC

被引：9

作者：

Manev, Mancho ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2012年 / 9卷 / 05期

关键词：

Almost contact manifold; B-metric; natural connection; KT-connection; parallel structure; totally skew-symmetric torsion; KAHLER-MANIFOLDS; COMPLEX-MANIFOLDS; GEOMETRY;

D O I：

10.1142/S0219887812500442

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined. Some curvature properties for this connection, when the corresponding curvature tensor has the properties of the curvature tensor for the Levi-Civita connection and the torsion tensor is parallel, are obtained.

引用

页数：20

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