Compact Hermitian surfaces of constant antiholomorphic sectional curvatures

被引：4
|
作者：
Apostolov, V
Ganchev, G
Ivanov, S
机构：
[1] Bulgarian Acad Sci, Inst Math Acad, BU-1113 Sofia, Bulgaria
[2] Univ Sofia, Fac Math & Informat, Dept Geometry, Sofia 1164, Bulgaria
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 12期
关键词：
compact Hermitian surfaces; antiholomorphic Riemannian and antiholomorphic Hermitian sectional curvatures; self-dual Hermitian surfaces;
D O I：
10.1090/S0002-9939-97-04043-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Compact Hermitian surfaces of constant antiholomorphic sectional curvatures with respect to the Riemannian curvature tensor and with respect to the Hermitian curvature tensor are considered. It is proved: a compact Hermitian surface of constant antiholomorphic Riemannian sectional curvatures is a self-dual Kaehler surface; a compact Hermitian surface of constant antiholomorphic Hermitian sectional curvatures is either a Kaehler surface of constant (non-zero) holomorphic sectional curvatures or a conformally flat Hermitian surface.
引用
收藏
页码：3705 / 3714
页数：10
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