Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Yanlin Li, Mohan Khatri, Jay Prakash Singh, Sudhakar Kumar Chaubey
Abstract
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized Sasakian-space-forms endowed with a quarter-symmetric connection. As an application of the obtain inequality, we first derived the Chen inequality for the bi-slant submanifold of generalized Sasakian-space-forms.
Topics & Concepts
MathematicsScalar curvatureSpace formChenSubmanifoldInvariant (physics)Pure mathematicsCurvatureMathematical analysisMean curvatureMathematical physicsGeometryBiologyPaleontologyGeometric Analysis and Curvature FlowsGeometry and complex manifoldsPoint processes and geometric inequalities