r-Almost Newton-Ricci solitons on Legendrian submanifolds of Sasakian space forms

被引：5
|
作者：
De, Uday Chand [1 ]
Siddiqi, Mohammad Danish [2 ]
Chaubey, Sudhakar K. [3 ]
机构：
[1] Univ Calcutta, Dept Pure Math, Kolkata, W Bengal, India
[2] Jazan Univ, Coll Sci, Dept Math, Jazan, Saudi Arabia
[3] Univ Technol & Appl Sci Shinas, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman
来源：
PERIODICA MATHEMATICA HUNGARICA | 2022年 / 84卷 / 01期
关键词：
r-almost Newton-Ricci solitons; Legendrian submanifolds; Sasakian space forms; Locally symmetric spaces; GRADIENT RICCI; EINSTEIN MANIFOLDS; MEAN-CURVATURE; HYPERSURFACES; RIGIDITY;
D O I：
10.1007/s10998-021-00394-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton-Ricci solitons (r -anrs) with the potential function psi : M-n. R. Also, we discuss the Legendrian immersion of Ricci solitons and obtain conditions for L-minimal and totally geodesic under Newton transformation. Finally, we furnish our paper with the study of 1-anrs on Legendrian submanifolds of Sasakian space form immersed in the locally symmetric Einstein manifolds.
引用
收藏
页码：76 / 88
页数：13
相关论文
共 50 条
  • [31] On Ricci curvature of C-totally real submanifolds in Sasakian space forms
    Liu, XM
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (04): : 399 - 405
  • [32] Scalar and Ricci curvatures of special contact slant submanifolds in Sasakian space forms
    Mihai, Adela
    Radulescu, Ioana N.
    ADVANCES IN GEOMETRY, 2014, 14 (01) : 147 - 159
  • [33] On Ricci curvature of C-totally real submanifolds in Sasakian space forms
    Ximin L.
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2001, 111 (4): : 399 - 405
  • [34] RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM
    Hong, Sungpyo
    Tripathi, Mukut Mani
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2006, 1 (02): : 31 - 51
  • [35] On scalar curvature of r-almost Yamabe solitons
    Cunha, Antonio W.
    de Lima, Eudes L.
    Siddiqi, Mohammed Danish
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 175
  • [36] Characteristics of Sasakian Manifolds Admitting Almost *-Ricci Solitons
    Rovenski, Vladimir
    Patra, Dhriti Sundar
    FRACTAL AND FRACTIONAL, 2023, 7 (02)
  • [37] REMARKS ON ALMOST η-RICCI SOLITONS IN (ε)-PARA SASAKIAN MANIFOLDS
    Blaga, Adara M.
    Perktas, Selcen Yuksel
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1621 - 1628
  • [38] Minimal Legendrian submanifolds in Sasakian space forms with C-parallel second fundamental form
    Xing, Cheng
    Zhai, Shujie
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 187
  • [39] Invariant submanifolds of Sasakian space forms
    Yildiz A.
    Murathan C.
    Journal of Geometry, 2009, 95 (1-2) : 135 - 150
  • [40] SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS
    Alegre, Pablo
    Carriazo, Alfonso
    TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (03): : 923 - 941
12345