Rigidity theorems for complete $$\lambda $$-hypersurfaces

2021 ◽  
Author(s):  
Saul Ancari ◽  
Igor Miranda
Keyword(s):  
Rigidity Theorems

scholarly journals Regularity and rigidity theorems for a class of anisotropic nonlocal operators

2016 ◽  
Vol 153 (1-2) ◽  
pp. 53-70 ◽  
Author(s):  
Alberto Farina ◽  
Enrico Valdinoci
Keyword(s):  
Nonlocal Operators ◽  
Rigidity Theorems

scholarly journals Rigidity Theorems on Odd Dimensional Manifolds

2009 ◽  
Vol 5 (3) ◽  
pp. 1139-1160 ◽  
Author(s):  
Kefeng Liu ◽  
Yong Wang
Keyword(s):  
Rigidity Theorems

scholarly journals Rigidity theorems of $\lambda$-hypersurfaces

2016 ◽  
Vol 24 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Qing-Ming Cheng ◽  
Shiho Ogata ◽  
Guoxin Wei
Keyword(s):  
Rigidity Theorems

scholarly journals Local rigidity theorems of 2-type hypersurfaces in a hypersphere

1991 ◽  
Vol 122 ◽  
pp. 139-148 ◽  
Author(s):  
Bang-Yen Chen
Keyword(s):  
Finite Type ◽  
Position Vector ◽  
Constant Vector ◽  
Local Rigidity ◽  
Rigidity Theorems ◽  
Finite Sum

A submanifold M (connected but not necessary compact) of a Euclidean m-space Em is said to be of finite type if each component of its position vector X can be written as a finite sum of eigenfunctions of the Laplacian Δ of M, that is,where X0 is a constant vector and ΔXt = λtXt, t = 1, 2, · · ·, k. If in particular all eigenvalues {λ1, λ2, · · ·, λk are mutually different, then M is said to be of k-type (cf. [3] for details).

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