Characterizations of some product manifolds by their spectrum

被引：0

作者：

Xia, CY ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

MONATSHEFTE FUR MATHEMATIK | 2005年 / 146卷 / 02期

关键词：

spectrum; sphere; complex projective space; product manifolds;

D O I：

10.1007/s00605-005-0315-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S-n(c) denote the n-dimensional Euclidean sphere of constant sectional curvature c and denote by CPn(c) the complex projective space of complex dimension n and of holomorphic sectional curvature c. In this paper, we obtain some characterizations of the manifolds S-2(c) x S-2(c'), S-4(c) x S-4(c'), CP2(c) x CP2(c') by their spectrum.

引用

页码：159 / 168

页数：10