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

[21] Pseudo-Ricci-Yamabe solitons on real hypersurfaces in the complex projective space
Suh, Young Jin
Woo, Changhwa
FILOMAT, 2024, 38 (03) : 833 - 853
[22] Real Hypersurfaces with Yamabe and Quasi-Yamabe Solitons in the Complex Projective Space
Chaubey, Sudhakar Kumar
Lee, Hyunjin
Suh, Young Jin
KYUNGPOOK MATHEMATICAL JOURNAL, 2025, 65 (01): : 107 - 129
[23] The Ricci tensor and structure Jacobi operator of real hypersurfaces in a complex projective space
Ki U.-H.
Nagai S.
Journal of Geometry, 2009, 94 (1-2) : 123 - 142
[24] Real Hypersurfaces in the Complex Projective Space with Pseudo Ricci-Bourguignon Solitions
Hwang, Doo Hyun
Suh, Young Jin
KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (03): : 435 - 459
[25] Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
de Dios Perez, Juan
Suh, Young Jin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2011, 54 (03): : 422 - 429
[26] On the Lie derivative of structure Jacobi operator of real hypersurfaces in complex projective space
Pérez, JD
Santos, FG
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 66 (3-4): : 269 - 282
[27] Polyharmonic hypersurfaces into complex space forms
Balado-Alves, Jose Miguel
ANNALI DI MATEMATICA PURA ED APPLICATA, 2024, 203 (06) : 2463 - 2480
[28] Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie ξ-parallel
Pérez, JD
Santos, FG
Suh, YJ
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2005, 22 (02) : 181 - 188
[29] Singular Levi-flat hypersurfaces in complex projective space induced by curves in the Grassmannian
Lebl, Jiri
INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (05)
[30] Stable Capillary Hypersurfaces in a Half-Space or a Slab
Ainouz, Abdelhamid
Souam, Rabah
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2016, 65 (03) : 813 - 831

← 1 2 3 4 5 →