Volume-preserving geodesic symmetries on four-dimensional Hermitian Einstein spaces

We prove that a four-dimensional Hermitian Einstein space is weakly *-Einsteinian and use this result to show that all geodesic symmetries are volume-preserving (up to sign) if and only if it is local symmetric.

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Bibliographic Details
Published in:Nagoya mathematical journal 1997-06, Vol.146, p.13-29
Main Authors: Cho, J. T., Sekigawa, K., Vanhecke, L.
Format: Article
Language:English
Subjects:
53C25
53C55
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Description
Summary:We prove that a four-dimensional Hermitian Einstein space is weakly *-Einsteinian and use this result to show that all geodesic symmetries are volume-preserving (up to sign) if and only if it is local symmetric.
ISSN:0027-7630
2152-6842
DOI:10.1017/S002776300000619X