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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...
Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains
Singular integrals product domains rough kernels Block spaces
2010/2/26
We establish the Lp boundedness of singular integrals on product domains with rough kernels in L(log L)2 and are supported by subvarieties.
