C-Totally Real Submanifolds with Constant Sectional Curvature in the Sasakian Space Forms

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Xiuxiu Cheng ◽  
Huili He ◽  
Zejun Hu
Keyword(s):  
Sectional Curvature ◽  
Constant Sectional Curvature ◽  
Real Submanifolds ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
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.

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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