scholarly journals C− totally real submanifolds with parallel mean curvature in λ-Sasakian space forms

2008 ◽  
Vol 34 (5) ◽  
Author(s):  
Aldir Brasil ◽  
Guillermo Antonio Lobos ◽  
M Mariano
Keyword(s):  
Mean Curvature ◽  
Real Submanifolds ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Parallel Mean Curvature ◽  
Totally Real

scholarly journals A class of C-totally real submanifolds of Sasakian space forms

1998 ◽  
Vol 65 (1) ◽  
pp. 120-128
Author(s):  
Filip Defever ◽  
Ion Mihai ◽  
Leopold Verstraelen
Keyword(s):  
Riemannian Manifold ◽  
Mean Curvature ◽  
Space Form ◽  
Sasakian Space Form ◽  
Real Submanifolds ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Totally Real ◽  
Real Complex

AbstractRecently, Chen defined an invariant δM of a Riemannian manifold M. Sharp inequalities for this Riemannian invariant were obtained for submanifolds in real, complex and Sasakian space forms, in terms of their mean curvature. In the present paper, we investigate certain C-totally real submanifolds of a Sasakian space form M2m+1(C)satisfying Chen's equality.

scholarly journals Surfaces with parallel mean curvature in Sasakian space forms

2014 ◽  
Vol 362 (1-2) ◽  
pp. 501-528 ◽  
Author(s):  
Dorel Fetcu ◽  
Harold Rosenberg
Keyword(s):  
Mean Curvature ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Parallel Mean Curvature

scholarly journals Totally real submanifolds of a complex space form

1996 ◽  
Vol 19 (1) ◽  
pp. 39-44 ◽  
Author(s):  
U-Hang Ki ◽  
Young Ho Kim
Keyword(s):  
Mean Curvature ◽  
Complex Space ◽  
Space Form ◽  
Curvature Vector ◽  
Complex Space Form ◽  
Mean Curvature Vector ◽  
Parallel Mean Curvature Vector ◽  
Real Submanifolds ◽  
Parallel Mean Curvature ◽  
Totally Real

Totally real submanifolds of a complex space form are studied. In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.

scholarly journals C-totally real submanifolds in (κ,μ)-contact space forms

2003 ◽  
Vol 67 (1) ◽  
pp. 51-65 ◽  
Author(s):  
Mukut Mani Tripathi ◽  
Jeong-Sik Kim
Keyword(s):  
Ricci Curvature ◽  
Mean Curvature ◽  
Space Form ◽  
Real Submanifolds ◽  
Space Forms ◽  
Left Hand ◽  
Real Submanifold ◽  
The Right ◽  
Totally Real ◽  
Contact Space

We obtain a basic B,-Y. Chen's inequality for a C-totally real submanifold in a (κ,μ)-contact space form involving intrinsic invariants, namely the scalar curvature and the sectional curvatures of the submanifold on left hand side and the main extrinsic invariant, namely the squared mean curvature on the right hand side. Inequalities between the squared mean curvature and Ricci curvature and between the squared mean curvature and κ-Ricci curvature are also obtained. These results are applied to get corresponding results for C-totally real submanifolds in a Sasakian space form.

Pinching theorems for C-totally real submanifolds of Sasakian space forms

1988 ◽  
Vol 33 (1-2) ◽  
pp. 172-184 ◽  
Author(s):  
Leopold Verstraelen ◽  
Luc Vrancken
Keyword(s):  
Real Submanifolds ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Totally Real
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