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arXiv 1012.4964math.DG
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几乎伪埃尔米特和几乎仿埃尔米特流形上共变导数Kähler张量的几何可实现性

Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds

Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey, Luis Hervella

摘要:

几乎伪埃尔米特流形或几乎仿埃尔米特流形的Kähler形式的共变导数满足一定的代数关系。相反,我们证明了满足这些代数关系的任何3-张量都可以几何地实现。

英文摘要:

The covariant derivative of the Kähler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which satisfies these algebraic relations can be realized geometrically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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