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On the Stability of Certain Riemannian Functionals
(2018-03-06)
Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor,
defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ...
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 ...