Compact self-dual Hermitian surfaces

Vestislav Apostolov, Johann Davidov, Oleg Muskarov

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Source: Crossref

Published: Jan 1, 1996

DOI: 10.1090/s0002-9947-96-01585-1

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Source 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.

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