ON ALMOST PARACONTACT ALMOST PARACOMPLEX RIEMANNIAN MANIFOLDS

被引：13

作者：

Manev, Mancho H. ^{[1
,2
]}

Tavkova, Veselina R. ^{[1
]}

机构：

[1] Univ Plovdiv Paisii Hilendarski, Dept Algebra & Geometry, Fac Math & Informat, 24 Tzar Asen St, Plovdiv 4000, Bulgaria

[2] Med Univ Plovdiv, Fac Publ Hlth, Dept Med Informat Biostat & E Learning, 15A Vasil Aprilov Blvd, Plovdiv 4002, Bulgaria

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2018年 / 33卷 / 05期

关键词：

Paracontact manifold; Riemannian manifold; tensor; metric;

D O I：

10.22190/FUMI1805637M

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Almost paracontact manifolds of odd dimension having an almost paracomplex structure on the paracontact distribution are studied. The components of the fundamental (0,3)-tensor, derived by the covariant derivative of the structure endo-morphism and the metric on the considered manifolds in each of the basic classes are obtained. Then, the case of the lowest dimension 3 of these manifolds is considered. An associated tensor of the Nijenhuis tensor is introduced and the studied manifolds are characterized with respect to this pair of tensors. Moreover, a cases of paracontact and para-Sasakian types are commented. A family of examples is given.

引用

页码：637 / 657

页数：21

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