η-Einstein Sasakian immersions in non-compact Sasakian space forms

被引：4
|
作者：
Bande, Gianluca [1 ]
Cappelletti-Montano, Beniamino [1 ]
Loi, Andrea [1 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Cagliari, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2020年 / 199卷 / 06期
关键词：
Sasakian; Sasaki-Einstein; eta-Einstein; Sasakian immersion; Kahler manifolds; Kahler immersions; Sasakian space form; SUBMANIFOLDS;
D O I：
10.1007/s10231-020-00959-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study Sasakian immersions of (non-compact) complete regular Sasakian manifolds into the Heisenberg group and into BNxRequipped with their standard Sasakian structures. We obtain a complete classification of such manifolds in the eta-Einstein case.
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页码：2117 / 2124
页数：8
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