CHEN IDEAL KAEHLER HYPERSURFACES

被引：3

作者：

Sentuerk, Zerrin ^{[1
]}

Verstraelen, Leopold ^{[2
]}

机构：

[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Engn Math, TR-34469 Istanbul, Turkey

[2] Katholieke Univ Leuven, Dept Math, B-3001 Heverlee, Belgium

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 07期

关键词：

Kaehler hypersurfaces; Complex hypercylinders; Complex quadrics; Chen curvatures;

D O I：

10.11650/twjm/1500405073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of Chen ideal submanifolds is illustrated by characterizing the complex hypercylinders in the complex Euclidean spaces and the complex hyperquadrics in the complex projective space forms in terms of equalities involving their intrinsic and normal scalar curvatures and simplest "delta" curvatures.

引用

页码：1597 / 1608

页数：12

共 50 条

[31] On the Roter Type of Chen Ideal Submanifolds
Deszcz, Ryszard
Glogowska, Malgorzata
Petrovic-Torgasev, Miroslava
Verstraelen, Leopold
RESULTS IN MATHEMATICS, 2011, 59 (3-4) : 401 - 413
[32] On the Roter Type of Chen Ideal Submanifolds
Ryszard Deszcz
Małgorzata Głogowska
Miroslava Petrović-Torgašev
Leopold Verstraelen
Results in Mathematics, 2011, 59 : 401 - 413
[33] Biharmonic ideal hypersurfaces in Euclidean spaces
Chen, Bang-Yen
Munteanu, Marian Ioan
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (01) : 1 - 16
[34] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION
Jin, Dab Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (01) : 201 - 213
[35] Biconservative ideal hypersurfaces in Euclidean spaces
Deepika
Arvanitoyeorgos, Andreas
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (02) : 1147 - 1165
[36] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC φ-SYMMETRIC CONNECTION
Jin, Dae Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (02) : 619 - 632
[37] Classes of real time-like hypersurfaces of a Kaehler manifold with B-metric
Mancho Manev
Journal of Geometry, 2002, 75 (1) : 113 - 122
[38] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SYMMETRIC METRIC CONNECTION OF TYPE (l, m)
Jin, Dae Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (04) : 1171 - 1184
[39] Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold
Gülbahar M.
Kilic E.
Keles S.
Journal of Inequalities and Applications, 2013 (1)
[40] On Chen's biharmonic conjecture for hypersurfaces in R5
Fu, Yu
Hong, Min-Chun
Zhan, Xin
ADVANCES IN MATHEMATICS, 2021, 383

← 1 2 3 4 5 →