On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds

被引：5
|
作者：
Ozdemir, Nulifer [1 ]
Aktay, Sirin [1 ]
Solgun, Mehmet [2 ]
机构：
[1] Eskisehir Tech Univ, Dept Math, TR-26555 Eskisehir, Turkey
[2] Bilecik Seyh Edebali Univ, Dept Math, TR-11230 Bilecik, Turkey
来源：
MATHEMATICS | 2019年 / 7卷 / 02期
关键词：
Riemannian manifolds; almost contact metric structure; D-conformal deformation;
D O I：
10.3390/math7020168
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds. The new Levi-Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] ON GENERALIZED D-CONFORMAL DEFORMATIONS OF ALMOST CONTACT METRIC MANIFOLDS AND HARMONIC MAPS
    Abbes, Mohammed Elmahdi
    Ouakkas, Seddik
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (3B): : 683 - 700
  • [2] D-CONFORMAL DEFORMATIONS ON ALMOST CONTACT METRIC STRUCTURE
    SUGURI, T
    NAKAYAMA, S
    TENSOR, 1974, 28 (02): : 125 - 129
  • [3] ON A CERTAIN TRANSFORMATION IN ALMOST CONTACT METRIC MANIFOLDS
    Beldjilali, Gherici
    Akyol, Mehmet Akif
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (02): : 365 - 375
  • [4] Almost contact metric manifolds with certain condition
    Benaoumeur Bayour
    Gherici Beldjilali
    Moulay Larbi Sinacer
    Annals of Global Analysis and Geometry, 2023, 64
  • [5] Almost contact metric manifolds with certain condition
    Bayour, Benaoumeur
    Beldjilali, Gherici
    Sinacer, Moulay Larbi
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 64 (02)
  • [6] Generalized m-Quasi-Einstein Metric on Certain Almost Contact Manifolds
    Singh, Jay Prakash
    Khatri, Mohan
    FILOMAT, 2022, 36 (20) : 6991 - 6999
  • [7] CERTAIN SOLITONS ON GENERALIZED (κ, μ) CONTACT METRIC MANIFOLDS
    Sarkar, Avijit
    Bhakta, Pradip
    KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (04): : 847 - 863
  • [8] Certain results on almost contact pseudo-metric manifolds
    V. Venkatesha
    Devaraja Mallesha Naik
    Mukut Mani Tripathi
    Journal of Geometry, 2019, 110
  • [9] Geodesic Rigidity of Certain Classes of Almost Contact Metric Manifolds
    Kirichenko, V. F.
    Polkina, E. A.
    RUSSIAN MATHEMATICS, 2007, 51 (09) : 37 - 44
  • [10] Certain results on almost contact pseudo-metric manifolds
    Venkatesha, V.
    Naik, Devaraja Mallesha
    Tripathi, Mukut Mani
    JOURNAL OF GEOMETRY, 2019, 110 (02)
12345