Pair of Associated Schouten-Van Kampen Connections Adapted to an Almost Contact B-Metric Structure

被引：6

作者：

Manev, Mancho ^{[1
,2
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Fac Math & Informat, Dept Algebra & Geometry, Plovdiv 4027, Bulgaria

[2] Med Univ Plovdiv, Fac Pharm, Dept Pharmaceut Sci, Plovdiv 4002, Bulgaria

来源：

FILOMAT | 2015年 / 29卷 / 10期

关键词：

Distribution; Schouten-van Kampen affine connection; almost contact B-metric manifold; contact distribution; Norden metric; indefinite metric; MANIFOLDS;

D O I：

10.2298/FIL1510437M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections. By means of the constructed non-symmetric connections, the basic classes of almost contact B-metric manifolds are characterized. Curvature properties of the considered connections are obtained.

引用

页码：2437 / 2446

页数：10

共 49 条

[1] THE SCHOUTEN-VAN KAMPEN AFFINE CONNECTION ADAPTED TO AN ALMOST (PARA) CONTACT METRIC STRUCTURE
Olszak, Zbigniew
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2013, 94 (108): : 31 - 42
[2] Almost Paracontact Almost Paracomplex Riemannian Manifolds with a Pair of Associated Schouten-van Kampen Connections
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[3] Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten-Van Kampen Connection
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[4] Quasi-Statistical Schouten-van Kampen Connections on the Tangent Bundle
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[5] CONFORMAL RICCI SOLITON ON PARACONTACT METRIC (k, μ)-MANIFOLDS WITH SCHOUTEN-VAN KAMPEN CONNECTION
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[6] Some results on paracontact metric (k, μ)-manifolds with respect to the Schouten-van Kampen connection
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[7] SOME CURVATURE PROPERTIES ON PARACONTACT METRIC (k, μ)-MANIFOLDS WITH RESPECT TO THE SCHOUTEN-VAN KAMPEN CONNECTION
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FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (02): : 395 - 408
[8] GENERALIZED η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS ASSOCIATED TO THE SCHOUTEN-VAN KAMPEN CONNECTION
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FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (01): : 87 - 98
[9] GENERALIZED ?-RICCI SOLITONS ON LP-KENMOTSU MANIFOLDS ASSOCIATED TO THE SCHOUTEN-VAN KAMPEN CONNECTION
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UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2023, 85 (01): : 53 - 64
[10] On the Structure Tensors of Almost Contact B-Metric Manifolds
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