Compact self-dual Hermitian surfaces-Reference-Cited by-同舟云学术

Compact self-dual Hermitian surfaces

Published:1996 Issue:8 Volume:348 Page:3051-3063
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Apostolov Vestislav,Davidov Johann,Muskarov Oleg

Abstract

In this paper, we obtain a classification (up to conformal equivalence) of the compact self-dual Hermitian surfaces. As an application, we prove that every compact Hermitian surface of pointwise constant holomorphic sectional curvature with respect to either the Riemannian or the Hermitian connection is Kähler.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1996-348-08/S0002-9947-96-01585-1/S0002-9947-96-01585-1.pdf

Reference33 articles.

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3. Any Hermitian metric of constant nonpositive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kähler;Balas, Andrew;Math. Z.,1985

4. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)];Besse, Arthur L.,1987

5. Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d’Einstein;Bourguignon, Jean-Pierre;Invent. Math.,1981

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