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An existence result of energy minimizer maps between riemannian polyhedra

Taoufik Bouziane
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Abstract

In this paper, we prove the existence of energy minimizers in each free homotopy class of maps between polyhedra with target space without focal points. Our proof involves a careful study of some geometric properties of riemannian polhyedra without focal points. Among other things, we show that on the relevant polyhedra, there exists a convex supporting function.

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Taoufik Bouziane. 2004-08-18. An existence result of energy minimizer maps between riemannian polyhedra. https://arxiv.org/abs/math/0408248

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