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

下载

页码：89 / 101

页数：13

共 48 条

[1] Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor
Mileva Prvanović
Journal of Geometry, 2012, 103 (1) : 89 - 101
[2] Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
Brozos-Vazquez, M.
Garcia-Rio, E.
Gilkey, P.
ADVANCES IN GEOMETRY, 2008, 8 (03) : 353 - 365
[3] HOLOMORPHIC TENSORS AND HOLOMORPHIC CLOSED SETS ON COMPACT HERMITIAN MANIFOLD
GAUDUCHON, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 279 (01): : 17 - 20
[4] A note on holomorphic sectional curvature of a hermitian manifold
Li, Hongjun
Qiu, Chunhui
GLASGOW MATHEMATICAL JOURNAL, 2022, 64 (03) : 739 - 745
[5] CURVATURE TENSORS ON ALMOST HERMITIAN-MANIFOLDS
TRICERRI, F
VANHECKE, L
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 267 (02) : 365 - 398
[6] Almost Hermitian Manifold with Flat Bochner Tensor
Abood, Habeeb M.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (04): : 730 - 736
[7] A NOTE ON CURVATURE TENSORS IN ALMOST HERMITIAN AND CONTACT GEOMETRY
Tshikuna-Matamba, Tshikunguila
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (03): : 751 - 760
[8] Locally Conformal Almost Cosymplectic Manifold of Phi-holomorphic Sectional Conharmonic Curvature Tensor
Abood, Habeeb M.
Al-Hussaini, Farah Hassan J.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (03): : 671 - 681
[9] Conharmonic Tensor of Certain Classes of Almost Hermitian Manifold
Abood, Habeeb Mtashar
Lafta, Gassan Irhaim
ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 1 - 6
[10] The holomorphic d-scalar curvature on almost Hermitian manifolds
Jianquan Ge
Yi Zhou
Science China Mathematics, 2023, 66 : 2293 - 2308

← 1 2 3 4 5 →