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
收藏
页码:637 / 657
页数:21
相关论文
共 50 条
  • [21] Geometry of almost Ricci solitons on paracontact metric manifolds
    Ali, Akram
    Mofarreh, Fatemah
    Patra, Dhriti Sundar
    QUAESTIONES MATHEMATICAE, 2022, 45 (08) : 1167 - 1180
  • [22] The Scalar Curvature of a Riemannian Almost Paracomplex Manifold and Its Conformal Transformations
    Rovenski, Vladimir
    Mikes, Josef
    Stepanov, Sergey
    MATHEMATICS, 2021, 9 (12)
  • [23] Invariant Tensors under the Twin Interchange of the Pairs of the Associated Metrics on Almost Paracomplex Pseudo-Riemannian Manifolds
    Mancho Manev
    Mediterranean Journal of Mathematics, 2020, 17
  • [24] ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION
    Ahmad, Mobin
    Haseeb, Abdul
    Jun, Jae-Bok
    Rahman, Shamsur
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (02): : 235 - 243
  • [25] AN ALMOST PARACONTACT RIEMANNIAN STRUCTURE ON INDICATRIX BUNDLE OF A FINSLER MANIFOLD
    Peyghan, E.
    Girtu, M.
    MATHEMATICAL REPORTS, 2012, 14 (02): : 185 - 195
  • [26] On the Geometry of Almost Golden Riemannian Manifolds
    Etayo, Fernando
    Santamaria, Rafael
    Upadhyay, Abhitosh
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
  • [27] Homogeneous almost normal Riemannian manifolds
    Berestovskiĭ V.N.
    Siberian Advances in Mathematics, 2014, 24 (1) : 12 - 17
  • [28] On the Geometry of Almost Golden Riemannian Manifolds
    Fernando Etayo
    Rafael Santamaría
    Abhitosh Upadhyay
    Mediterranean Journal of Mathematics, 2017, 14
  • [29] Invariant Tensors under the Twin Interchange of the Pairs of the Associated Metrics on Almost Paracomplex Pseudo-Riemannian Manifolds
    Manev, Mancho
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
  • [30] The decomposition of almost paracontact metric manifolds in eleven classes revisited
    Zamkovoy S.
    Nakova G.
    Journal of Geometry, 2018, 109 (1)