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

Published online by Cambridge University Press:  22 January 2016

Ryoichi Takagi
Ryoichi Takagi*
Affiliation:
Department of Mathematics, University of Tsiikuba, Sakura-mura, Niihari-gun, Ibaraki, Japan
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 91 , September 1983 , pp. 1 - 18
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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