Compact homogeneous submanifolds with parallel mean curvature

1984 ◽  
pp. 93-98
Author(s):  
Yoshihisa Kitagawa
Keyword(s):  
Mean Curvature ◽  
Parallel Mean Curvature ◽  
Homogeneous Submanifolds

scholarly journals A Note on surfaces with parallel mean curvature

2011 ◽  
Vol 349 (21-22) ◽  
pp. 1195-1197 ◽  
Author(s):  
Dorel Fetcu ◽  
Harold Rosenberg
Keyword(s):  
Mean Curvature ◽  
Parallel Mean Curvature

scholarly journals Space-like submanifolds with parallel mean curvature in de Sitter spaces

2000 ◽  
Vol 69 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Chongzhen Ouyang ◽  
Zhenqi Li
Keyword(s):  
Fundamental Form ◽  
Mean Curvature ◽  
Curvature Vector ◽  
Second Fundamental Form ◽  
Mean Curvature Vector ◽  
De Sitter ◽  
Parallel Mean Curvature Vector ◽  
Complete Space ◽  
The Second Fundamental Form ◽  
Parallel Mean Curvature

AbstractThis paper investigates complete space-like submainfold with parallel mean curvature vector in the de Sitter space. Some pinching theorems on square of the norm of the second fundamental form are given

scholarly journals On pinching theorems for compact pseudo-umbilical submanifold

2012 ◽  
Vol 45 (3) ◽  
pp. 645-654
Author(s):  
Jing Mao ◽  
Shaodong Qin
Keyword(s):  
Riemannian Manifold ◽  
Constant Curvature ◽  
Mean Curvature ◽  
Sufficient Conditions ◽  
Curvature Vector ◽  
Mean Curvature Vector ◽  
Parallel Mean Curvature Vector ◽  
Totally Umbilical ◽  
Totally Umbilical Submanifold ◽  
Parallel Mean Curvature

AbstractConsider submanifolds in the nested space. For a compact pseudoumbilical submanifold with parallel mean curvature vector of a Riemannian submanifold with constant curvature immersed in a quasi-constant curvature Riemannian manifold, two sufficient conditions are given to let the pseudo-umbilical submanifold become a totally umbilical submanifold.

scholarly journals Graphs with parallel mean curvature

1989 ◽  
Vol 107 (2) ◽  
pp. 449-449 ◽  
Author(s):  
Isabel Maria da Costa Salavessa
Keyword(s):  
Mean Curvature ◽  
Parallel Mean Curvature
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