Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor

被引：0

作者：

Prvanovic, Mileva ^{[1
]}

机构：

[1] SANU, Matemat Inst, Kneza Mihaila 36, Belgrade, Serbia

来源：

JOURNAL OF GEOMETRY | 2012年 / 103卷 / 01期

关键词：

Almost Hermitian manifold; holomorphic curvature tensor; Bochner tensor; conformal change of metric;

D O I：

10.1007/s00022-012-0111-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an almost Hermitian manifold and apply the conformal change of metric to its holomorphic curvature tensor. In such a way we find that the generalized Bochner curvature tensor can be expressed as a linear combination of B-1, B-2, and B-3 such that (6.4) holds. Each of the tensors B-1, B-2, B-3 is conformally invariant and satisfies the condition (1.2) of Kahler type.

引用

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页码：89 / 101

页数：13

共 48 条

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