A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Yanlin Li, Akram Ali, Rifaqat Ali
Abstract
In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Topics & Concepts
MathematicsSpace (punctuation)Space formInequalityProduct (mathematics)Pure mathematicsMathematical analysisGaussGeometryComputer sciencePhysicsOperating systemSubmanifoldQuantum mechanicsGeometric Analysis and Curvature FlowsPoint processes and geometric inequalitiesGeometry and complex manifolds