Existence of p-energy minimizers in homotopy classes and lifts of\n Newtonian maps

2015/06/24 by Elefterios Soultanis, Soultanis, Elefterios
Mathematics · #31E05 #46E35 #49J52 #51F99 #55P20 #Algebraic Topology (math.AT) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1506.07767

openalex publication_date 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the notion of p-quasihomotopy in Newtonian classes of mappings and\nlink it to questions concerning lifts of Newtonian maps, under the assumption\nthat the target space is nonpositively curved. Using this connection we prove\nthat every p-quasihomotopy class of Newtonian maps contains a minimizer of\nthe p-energy if the target has hyperbolic fundamental group.\n

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