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An Introduction to Minimal Surfaces
(2017-12-10)
In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform ...
Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae
(2014-06-30)
The curvature of a contraction T in the Cowen-Douglas class is bounded above by the
curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. ...