Linear \infty-Harmonic maps between Rienmannian manifolds

Details Linear \infty-Harmonic maps between Rienmannian manifolds Linear \infty-Harmonic maps between Rienmannian manifolds

2007-11-05

arxiv.org/abs/0711.0495v1

Mathematics

Differential Geometry

22 Pages

Scientific paper

In this paper, we give complete classifications of linear $\infty$-harmonic
maps between Euclidean and Heisenberg spaces, between Nil and Sol spaces. We
also classify all $\infty$-harmonic linear endomorphisms of Sol space and show
that there is a subgroup of $\infty$-harmonic linear automorphisms in the group
of linear automorphisms of Sol space.

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