Analytic torsion of space forms of certain compact symmetric spaces

Analytic torsion of space forms of certain compact symmetric spaces
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某些紧对称空间的空间形式的解析挠率

DOI:
10.1017/s0027763000022558
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发表时间:
1977
影响因子:
0.8
通讯作者:
H. Urakawa
H. Urakawa
中科院分区:
数学2区
文献类型:
--
作者:
H. Urakawa

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设M是维数为dr的紧致定向黎曼流形,Γ是M的基本群.对于向量空间F上的Γ的有限维表示ρ,Ray和Singer [10]定义了解析挠率T(M,ρ)如下:我们用E表示M上的向量丛,其典型纤维F由表示ρ定义。
Let M be a compact, oriented Riemannian manifold of dimension dr and let Γ be the fundamental group of M. For a finite dimensional representation ρ of Γ on a vector space F, Ray and Singer [10] have defined the analytic torsion T(M, ρ) as follows: We denote by E the vector bundle over M with typical fibre F defined by the representation ρ.