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arXiv · 1512.01491

Energy of generalized distributions

J. C. González-Dávila
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Abstract

We consider the energy of smooth generalized distributions and also of singular foliations on compact Riemannian manifolds for which the set of their singularities consists of a finite number of isolated points and of pairwise disjoint closed submanifolds. We derive a lower bound for the energy of all $q$-dimensional almost regular distributions, for each $q< \dim M,$ and find several examples of foliations which minimize the energy functional over certain sets of smooth generalized distributions.

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J. C. González-Dávila. 2015-12-04. Energy of generalized distributions. https://arxiv.org/abs/1512.01491

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