A characterization of Sasakian space forms by the spectrum

被引：1
|
作者：
Perrone, Domenico [1 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Italy
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2015年 / 90卷
关键词：
Isospectral problem; Sasakian space forms; Berger-Sasakian spheres; LAPLACIAN; MANIFOLDS;
D O I：
10.1016/j.geomphys.2015.01.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of characterizing Sasakian manifolds of constant phi-sectional curvature by using the spectrum (2)Spec of the Laplace-Beltrami operator acting on 2-forms. In particular, we show that the sphere S2n+1, equipped with a Berger-Sasakian metric, is characterized by its (2)Spec in the class of all compact simply connected Sasakian manifolds. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：88 / 94
页数：7
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