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Bergman completeness is not a quasi-conformal invariant
quasi-conformal invariant Bergman completeness Complex Variables
2011/9/22
Abstract: We show that Bergman completeness is not a quasi-conformal invariant for general Riemann surfaces.
The Spread of the Shape Operator as Conformal Invariant
Principal curvatures Shape operator Extrinsic scalar curvature Surfaces of rotation
2008/6/26
The notion the spread of a matrix was first introduced fifty years ago in algebra. In this article, we define the spread of the shape operator by applying the same idea to submanifolds of Riemannian m...