Constant Mean Curvature Surfaces in Euclidean Spaces

1995 ◽  
pp. 481-490 ◽  
Author(s):  
Nikolaos Kapouleas
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Euclidean Spaces ◽  
Constant Mean Curvature Surfaces

scholarly journals Biharmonic constant mean curvature surfaces in Killing submersions

2018 ◽  
Vol 133 ◽  
pp. 91-101
Author(s):  
Stefano Montaldo ◽  
Irene I. Onnis ◽  
Apoena Passos Passamani
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Constant Mean Curvature Surfaces

Rotational λ – hypersurfaces in Euclidean spaces

2021 ◽  
Vol 30 (1) ◽  
pp. 29-40
Author(s):  
KADRI ARSLAN ◽  
ALIM SUTVEREN ◽  
BETUL BULCA
Keyword(s):  
Present Article ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Special Solution ◽  
Euclidean Spaces ◽  
Self Similar ◽  
The Mean ◽  
Similar Flows

Self-similar flows arise as special solution of the mean curvature flow that preserves the shape of the evolving submanifold. In addition, \lambda -hypersurfaces are the generalization of self-similar hypersurfaces. In the present article we consider \lambda -hypersurfaces in Euclidean spaces which are the generalization of self-shrinkers. We obtained some results related with rotational hypersurfaces in Euclidean 4-space \mathbb{R}^{4} to become self-shrinkers. Furthermore, we classify the general rotational \lambda -hypersurfaces with constant mean curvature. As an application, we give some examples of self-shrinkers and rotational \lambda -hypersurfaces in \mathbb{R}^{4}.

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