Curvature Homogeneous Metrics on Principal Fibre Bundles

被引：3
|
作者：
Tomassini, Adriano [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1997年 / 172卷 / 01期
关键词：
Riemannian Manifold; Fibre Bundle; Homogeneous Metrics; Principal Fibre; Homogeneous Riemannian Manifold;
D O I：
10.1007/BF01782616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a principal fibre bundle P = P( M, pi, G) with one-dimensional fibre G over a curvature homogeneous Riemannian manifold (M, (g) over tilde) and we give a list of sufficient conditions for some distinguished metric on P to be curvature homogeneous. We give examples to illustrate the result.
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页码：287 / 295
页数：9
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