Year: 2025
Type: article
Abstract: We give a sharp lower bound for energy in homotopy classes of maps from real projective space to Riemannian manifolds, together with an upper bound for the infimum of the energy in such a homotopy class. We characterize the maps attaining this lower bound for energy, and we explain how the infimum of the energy in a homotopy class of maps of real projective ‐space is determined by an associated class of maps of the real projective plane.
DOI: 10.1112/blms.70225
Author: Joseph Ansel Hoisington
Institution: Rose–Hulman Institute of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4416415652