Compact Hermitian surfaces of constant antiholomorphic sectional curvatures
Compact Hermitian surfaces of constant antiholomorphic sectional curvatures
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恒定反全纯截面曲率的紧厄米特表面
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
G. Ganchev
中科院分区：
文献类型：
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作者：
V. Apostolov;S. Ivanov;G. Ganchev
。考虑了具有关于黎曼曲率张量和关于厄米曲率张量的恒定反全纯截面曲率的紧致厄米特曲面。证明了具有常反全纯黎曼截曲率的紧Hermite曲面是自对偶Kaehler曲面；具有常反全纯Hermite截面曲率的紧Hermite曲面不是具有常(非零)全纯截曲率的Kaehler曲面，就是Hermite曲面上的共形fl曲面.
. 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.