Stable hypersurfaces in the complex projective space
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机构:
Battaglia, Erika
[1
]
Monti, Roberto
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机构:
Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, ItalyUniv Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
Monti, Roberto
[1
]
Righini, Alberto
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Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, ItalyUniv Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
Righini, Alberto
[1
]
机构:
[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
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.
机构:
Sidho Kanho Birsha Univ, Dept Math, Purulia 723104, W Bengal, India
Bankura Univ, Dept Math, Bankura 722155, W Bengal, IndiaSidho Kanho Birsha Univ, Dept Math, Purulia 723104, W Bengal, India
Hui, S. K.
Matsuyama, Y.
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Chuo Univ, Dept Math, Fac Sci & Engn, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, JapanSidho Kanho Birsha Univ, Dept Math, Purulia 723104, W Bengal, India