Stable hypersurfaces in the complex projective space

被引：1

作者：

Battaglia, Erika ^{[1
]}

Monti, Roberto ^{[1
]}

Righini, Alberto ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2020年 / 199卷 / 01期

关键词：

Stable hypersurfaces; Complex projective space; Constant mean curvature hypersurfaces; REAL HYPERSURFACES; STABILITY;

D O I：

10.1007/s10231-019-00875-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the sphere with radius tan(2) r = 2n + 1 in the complex projective space CPn as the unique stable hypersurface subject to certain bounds on the curvatures.

引用

页码：231 / 251

页数：21

共 50 条

[11] New characterizations of ruled real hypersurfaces in complex projective space
Perez, Juan de Dios
Perez-Lopez, David
PERIODICA MATHEMATICA HUNGARICA, 2023, 87 (02) : 456 - 467
[12] New characterizations of ruled real hypersurfaces in complex projective space
Juan de Dios Pérez
David Pérez-López
Periodica Mathematica Hungarica, 2023, 87 : 456 - 467
[13] Real Hypersurfaces of a Complex Projective Space in Terms of the Jacobi Operators
Jong Taek Cho
U-Hang Ki
Acta Mathematica Hungarica, 1998, 80 : 155 - 167
[14] PSEUDO RICCI SYMMETRIC REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE
Hui, S. K.
Matsuyama, Y.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (02) : 489 - 497
[15] RICCI TENSORS OF REAL HYPERSURFACES IN A COMPLEX PROJECTIVE-SPACE
MAEDA, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (04) : 1229 - 1235
[16] Characterizations of hypersurfaces of type A2 in a complex projective space
Maeda, Sadahiro
Adachi, Toshiaki
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (01) : 1 - 8
[17] The classification of naturally reductive homogeneous real hypersurfaces in complex projective space
Setsuo Nagai
Archiv der Mathematik, 1997, 69 : 523 - 528
[18] Real hypersurfaces in complex projective space with recurrent structure Jacobi operator
de Dios Perez, Juan
Santos, Florentino G.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2008, 26 (02) : 218 - 223
[19] The classification of naturally reductive homogeneous real hypersurfaces in complex projective space
Nagai, S
ARCHIV DER MATHEMATIK, 1997, 69 (06) : 523 - 528
[20] Fischer-Marsden Conjecture on Hypersurfaces in the Complex Projective
Suh, Young Jin
TAIWANESE JOURNAL OF MATHEMATICS, 2025,

← 1 2 3 4 5 →