Properties of Soft Maps on Riemannian Manifolds

<p> This paper concerns the soft map <i>f</i> from a Riemannian manifold to a probability space that minimizes the Dirichlet energy. First we give the explicit formula from any Riemannian manifold <i>M</i> to <i>Prob</i>(<b>R</b>). Secondly we di...

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Bibliographic Details
Main Author: Lu, Zhuoran
Language:EN
Published: New York University 2017
Subjects:
Online Access:http://pqdtopen.proquest.com/#viewpdf?dispub=10617234