On the Polynomial Convexity of the Union of Three Totally Real Planes in ℂ2

2012 ◽  
Vol 2013 (21) ◽  
pp. 4985-5001 ◽  
Author(s):  
Sushil Gorai
Keyword(s):  
Polynomial Convexity ◽  
Totally Real

Polynomial convexity and totally real manifolds

2009 ◽  
Vol 54 (3-4) ◽  
pp. 265-281 ◽  
Author(s):  
Erik Løw ◽  
Erlend Fornæss Wold
Keyword(s):  
Polynomial Convexity ◽  
Totally Real

Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6449-6459 ◽  
Author(s):  
Akram Ali ◽  
Siraj Uddin ◽  
Wan Othman ◽  
Cenap Ozel
Keyword(s):  
Sectional Curvature ◽  
Mean Curvature ◽  
Warped Product ◽  
Warped Products ◽  
Equality Case ◽  
Cosymplectic Manifolds ◽  
Almost Cosymplectic Manifold ◽  
Locally Conformal ◽  
Totally Real ◽  
Optimal Inequalities

In this paper, we establish some optimal inequalities for the squared mean curvature in terms warping functions of a C-totally real doubly warped product submanifold of a locally conformal almost cosymplectic manifold with a pointwise ?-sectional curvature c. The equality case in the statement of inequalities is also considered. Moreover, some applications of obtained results are derived.

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