VOLUME-PRESERVING GEODESIC SYMMETRIES ON 4-DIMENSIONAL HERMITIAN EINSTEIN-SPACES

Authors
CHO JT SEKIGAWA K VANHECKE L
Citation
Jt. Cho et al., VOLUME-PRESERVING GEODESIC SYMMETRIES ON 4-DIMENSIONAL HERMITIAN EINSTEIN-SPACES, Nagoya Mathematical Journal, 146, 1997, pp. 13-29
Citations number
28
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Nagoya Mathematical Journal → ACNP
ISSN journal
00277630
Volume
146
Year of publication
1997
Pages
13 - 29
Database
ISI
SICI code
0027-7630(1997)146:<13:VGSO4H>2.0.ZU;2-F
Abstract
We prove that a four-dimensional Hermitian Einstein space is weakly - Einsteinian and use this result to show that all geodesic symmetries a re volume-preserving (up to sign) if and only if it is local symmetric .