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

页码：76 / 88

页数：13

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