Nonsymmetric Osserman indefinite Kähler manifolds-Reference-Cited by-同舟云学术

Nonsymmetric Osserman indefinite Kähler manifolds

Published:1998 Issue:9 Volume:126 Page:2763-2769
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bonome A.,Castro R.,García-Río E.,Hervella L.,Vázquez-Lorenzo R.

Abstract

The authors prove the existence of Osserman manifolds with indefinite Kähler metric of nonnegative or nonpositive holomorphic sectional curvature which are not locally symmetric.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-09/S0002-9939-98-04659-0/S0002-9939-98-04659-0.pdf

Reference14 articles.

1. Indefinite Kähler manifolds;Barros, Manuel;Math. Ann.,1982

2. A note on Osserman Lorentzian manifolds;Blažić, Novica;Bull. London Math. Soc.,1997

3. On the holomorphic sectional curvature on an indefinite Kähler manifold;Bonome, Agustín;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1992

4. Null holomorphically flat indefinite almost Hermitian manifolds;Bonome, A.;Illinois J. Math.,1995

5. A curvature characterization of certain locally rank-one symmetric spaces;Chi, Quo-Shin;J. Differential Geom.,1988

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