CR-Submanifolds in Complex and Sasakian Space Forms

2016 ◽  
pp. 217-266 ◽  
Author(s):  
Adela Mihai ◽  
Ion Mihai
Keyword(s):  
Space Forms ◽  
Sasakian Space Forms ◽  
Cr Submanifolds

scholarly journals CR-Submanifolds of Generalized -Space Forms

Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Mahmood Jaafari Matehkolaee
Keyword(s):  
Scalar Curvature ◽  
Sectional Curvature ◽  
Upper Bound ◽  
Ricci Tensor ◽  
Space Form ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Cr Submanifold ◽  
Special Cases ◽  
Cr Submanifolds

We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized -space forms. Then we give an upper bound for foliate -horizontal (and vertical) CR-submanifold of a generalized -space form and an upper bound for minimal -horizontal (and vertical) CR-submanifold of a generalized -space form. Finally, we give the same results for special cases of generalized -space forms such as -space forms, generalized Sasakian space forms, Sasakian space forms, Kenmotsu space forms, cosymplectic space forms, and almost -manifolds.

scholarly journals Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Dae Ho Jin
Keyword(s):  
Vector Field ◽  
Space Form ◽  
Sasakian Manifold ◽  
Sasakian Space Form ◽  
Space Forms ◽  
Sasakian Structure ◽  
Sasakian Space Forms ◽  
Generalized Sasakian Space Form ◽  
Characterization Theorems ◽  
Lightlike Hypersurfaces

We study lightlike hypersurfacesMof an indefinite generalized Sasakian space formM-(f1,f2,f3), with indefinite trans-Sasakian structure of type(α,β), subject to the condition that the structure vector field ofM-is tangent toM. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type(α,β). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.

scholarly journals f-Biharmonic Curves in the Three-dimensional Para-Sasakian Space Forms

2021 ◽  
pp. 369-379
Author(s):  
Murat Altunbaş
Keyword(s):  
Three Dimensional ◽  
Space Forms ◽  
3 Dimensional ◽  
Sasakian Space Forms ◽  
Sasakian Structures ◽  
Biharmonic Curves

In this paper, we give some characterizations for proper f-biharmonic curves in the para-Bianchi-Cartan-Vranceanu space forms with 3-dimensional para-Sasakian structures.

Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms

2008 ◽  
Vol 51 (3) ◽  
pp. 448-459 ◽  
Author(s):  
Toru Sasahara
Keyword(s):  
Critical Points ◽  
Harmonic Map ◽  
Biharmonic Maps ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
The Stability ◽  
Biharmonic Map ◽  
Legendrian Submanifolds

AbstractBiharmonic maps are defined as critical points of the bienergy. Every harmonic map is a stable biharmonic map. In this article, the stability of nonharmonic biharmonic Legendrian submanifolds in Sasakian space forms is discussed.

Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms

2020 ◽  
pp. 1-12 ◽  
Author(s):  
Akram Ali ◽  
Ali H. Alkhaldi ◽  
Pişcoran Laurian-Ioan ◽  
Rifaqat Ali
Keyword(s):  
Laplacian Operator ◽  
Real Submanifolds ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Totally Real

Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms

2020 ◽  
Vol 155 ◽  
pp. 103768 ◽  
Author(s):  
Jae Won Lee ◽  
Chul Woo Lee ◽  
Gabriel-Eduard Vîlcu
Keyword(s):  
Space Forms ◽  
Sasakian Space Forms ◽  
Legendrian Submanifolds
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