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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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
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53C25
53C55
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container_title Nagoya mathematical journal
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creator Cho, J. T.
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description 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.
doi_str_mv 10.1017/S002776300000619X
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ispartof Nagoya mathematical journal, 1997-06, Vol.146, p.13-29
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language eng
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source Project Euclid
subjects 53C25
53C55
title Volume-preserving geodesic symmetries on four-dimensional Hermitian Einstein spaces
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