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INTEGRAL IDENTITIES AND MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
INTEGRAL IDENTITIES MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
2014/4/3
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some
Minkowski type inequalities.
Optimal Inequalities Characterising Quasi-umbilical Submanifolds
Chen curvature Casorati curvature quasi-umbilical
2010/1/22
A family of optimal inequalities is obtained involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds of real space forms. Equality holds in the inequalities if a...
Some Retarded Nonlinear Integral Inequalities in Two Variables and Applications
Integral inequality Nonlinear Two variables Retarded
2010/1/22
In this paper, some retarded nonlinear integral inequalities in two variables with more than one distinct nonlinear term are established. Our results are also applied to show the boundedness of the so...
Two-weight Norm Inequalities for Some Anisotropic Sublinear Operators
Weighted Lebesgue space sublinear operators anisotropic singular integral two-weighted inequality
2010/2/26
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many importa...