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
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