On C-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

被引：8

作者：

Hu, Zejun ^{[1
]}

Li, Meng ^{[1
]}

Xing, Cheng ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 04期

关键词：

Sasakian space form; C-totally real; Minimal submanifold; Einstein metric; Parallel Ricci tensor; LEGENDRIAN SUBMANIFOLDS;

D O I：

10.1007/s13398-022-01306-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Cheng et al. recently (Results Math 76:144, 2021) established a complete classification of the n-dimensional C-totally real minimal submanifolds with constant sectional curvature in the (2n + 1)-dimensional Sasakian space form N2n+1 (C). In this paper, trying to extend the above result, we classify C-totally real minimal submanifolds in N2n+1 (c) with parallel Ricci tensor for n = 3, 4. In particular, we show that 4-dimensional C-totally real minimal Einstein submanifolds in N-9 (c) are of constant sectional curvature.

引用

页数：25

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