Abstract
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We study the degrees of homogeneous harmonic maps between simplicial cones. Such
maps have been used to model the local behavior of harmonic maps between
singular spaces, where the degrees of homogeneous approximations describe
the regularity of harmonic maps. In particular the degrees of homogeneous
harmonic maps are related to eigenvalues of discrete and edge-based graph
Laplacians.
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Keywords
homogeneous harmonic maps, combinatorial Laplacian,
edge-based Laplacian
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Mathematical Subject Classification
Primary: 34B07, 53C43
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Milestones
Received: 16 October 2023
Revised: 12 March 2024
Accepted: 28 September 2024
Published: 30 October 2024
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| © 2024 MSP (Mathematical Sciences
Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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