The imbedding problem of Riemannian globally symmetric spaces of the compact type

1987 ◽  
pp. 53-66
Author(s):  
Yi Hu
Keyword(s):  
Symmetric Spaces ◽  
Compact Type

scholarly journals On higher covariant derivatives of the curvature tensors of Kählerian C-spaces

1983 ◽  
Vol 91 ◽  
pp. 1-18 ◽  
Author(s):  
Ryoichi Takagi
Keyword(s):  
Symmetric Spaces ◽  
Compact Type ◽  
Hermitian Symmetric Spaces ◽  
Covariant Derivatives ◽  
Higher Covariant Derivatives ◽  
Group Of Isometries ◽  
Complex Homogeneous Manifold ◽  
Curvature Tensors ◽  
Simply Connected ◽  
Derivatives Of

A compact simply connected complex homogeneous manifold is said briefly a C-space, which was completely classified by H. C. Wang [12]. A C-space is called to be Kählerian if it admits a Kählerian metric such that a group of isometries acts transitively on it. Hermitian symmetric spaces of compact type are typical examples of a Kählerian C-space. Let M be an arbitrary Kählerian C-space and R its curvature tensor. M. Itoh [6] expressed R in the language of Lie algebra and investigated various properties of R. In this paper, we study higher covariant derivatives of R.

scholarly journals The local zeta function for symmetric spaces of non-compact type

2011 ◽  
Vol 61 (1) ◽  
pp. 125-136 ◽  
Author(s):  
Tomás F. Godoy ◽  
Roberto J. Miatello ◽  
Floyd L. Williams
Keyword(s):  
Zeta Function ◽  
Symmetric Spaces ◽  
Compact Type ◽  
Local Zeta Function

scholarly journals Simplical volume of closed locally symmetric spaces of non-compact type

2006 ◽  
Vol 197 (1) ◽  
pp. 129-143 ◽  
Author(s):  
Jean-François Lafont ◽  
Benjamin Schmidt
Keyword(s):  
Symmetric Spaces ◽  
Compact Type ◽  
Locally Symmetric Spaces
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