Harmonic Self-maps of SU(3)

2015/12/22 by Anna Siffert, Siffert, Anna
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1512.07002

Abstract

By constructing solutions of a singular boundary value problem we prove the existence of a countably infinite family of harmonic self-maps of SU(3) with non-trivial, i.e. ≠ 0,± 1, Brouwer degree.

Citations

• Harmonic Mappings of Riemannian Manifolds

Related

• Infinite families of harmonic self-maps of spheres
• Harmonic maps between three-spheres
• Harmonic self-maps of cohomogeneity one manifolds
• Transgressive Harmonic Maps and SU(1,1) Self-Duality Solutions
• Extended solutions of the harmonic map equation in the special unitary group