Harmonic self-maps of cohomogeneity one manifolds

Puettmann, Thomas; Siffert, Anna

doi:10.1007/s00208-019-01848-x

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Harmonic self-maps of cohomogeneity one manifolds

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Siffert, Anna
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Puettmann, T., & Siffert, A. (2019). Harmonic self-maps of cohomogeneity one manifolds. Mathematische Annalen, 375(1-2), 247-282. doi:10.1007/s00208-019-01848-x.

Cite as: https://hdl.handle.net/21.11116/0000-0004-F7B6-8

Abstract

We develop the theory of equivariant harmonic self-maps of compact cohomogeneity one manifolds and construct new harmonic self-maps of the compact Lie groups SO(4L+2), L >= 1, with degree -3, of SO(8), SO(14) and SO(26) with degree -5 each, of SO(10) with degree -7, and of SO(14) with degree -11 by exhibiting linear solutions to non-linear singular boundary value problems.