On 4-dimensional generalized complex space forms

被引：1

作者：

Kim, UK ^{[1
]}

机构：

[1] Sung Kyun Kywan Univ, Dept Math Educ, Seoul 110745, South Korea

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1999年 / 66卷

关键词：

generalized complex space form; almost Hermitian manifold; pointwise constant; holomorphic sectional curvature; weakly *-Einstein;

D O I：

10.1017/S1446788700036673

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize four-dimensional generalized complex forms and construct an Einstein and weakly *-Einstein Hermitian manifold with pointwise constant holomorphic sectional curvature which is not globally constant.

引用

页码：379 / 387

页数：9

共 50 条

[1] Biharmonic hypersurfaces in 4-dimensional space forms
Balmus, Adina
Montaldo, Stefano
Oniciuc, Cezar
[J]. MATHEMATISCHE NACHRICHTEN, 2010, 283 (12) : 1696 - 1705
[2] Spinorial representation of surfaces into 4-dimensional space forms
Pierre Bayard
Marie-Amélie Lawn
Julien Roth
[J]. Annals of Global Analysis and Geometry, 2013, 44 : 433 - 453
[3] On biconservative hypersurfaces in 4-dimensional Riemannian space forms
Turgay, Nurettin Cenk
Upadhyay, Abhitosh
[J]. MATHEMATISCHE NACHRICHTEN, 2019, 292 (04) : 905 - 921
[4] Spinorial representation of surfaces into 4-dimensional space forms
Bayard, Pierre
Lawn, Marie-Amelie
Roth, Julien
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2013, 44 (04) : 433 - 453
[5] Bonnet and Isotropically Isothermic Surfaces in 4-Dimensional Space Forms
Kleanthis Polymerakis
[J]. The Journal of Geometric Analysis, 2021, 31 : 12288 - 12346
[6] Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
MA Xiang & WANG Peng School of Mathematical Sciences
[J]. Science China Mathematics, 2008, (09) : 1561 - 1576
[7] Bonnet and Isotropically Isothermic Surfaces in 4-Dimensional Space Forms
Polymerakis, Kleanthis
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (12) : 12288 - 12346
[8] Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
Ma Xiang
Wang Peng
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (09): : 1561 - 1576
[9] Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
Xiang Ma
Peng Wang
[J]. Science in China Series A: Mathematics, 2008, 51 : 1561 - 1576
[10] LORENTZIAN STATIONARY SURFACES IN 4-DIMENSIONAL SPACE FORMS OF INDEX 2
Sakaki, Makoto
[J]. TSUKUBA JOURNAL OF MATHEMATICS, 2011, 35 (02) : 215 - 229

← 1 2 3 4 5 →