Schur's Theorem for Almost Hermitian Manifolds

Schur's Theorem for Almost Hermitian Manifolds
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DOI:
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发表时间:
2011-08
期刊:
arXiv: Differential Geometry
影响因子:
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通讯作者:
O. Kassabov
O. Kassabov
中科院分区:
其他
文献类型:
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作者:
O. Kassabov

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证明了任意几乎Hermitian流形的反全纯型Schur定理,即:如果一个维数大于或等于6的连通几乎Hermitian流形具有逐点常反全纯截面曲率,则该曲率是整体常曲率.
The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant.