On pseudo-harmonic maps in conformal geometry
Differential Geometry
2014-02-26 v3 Analysis of PDEs
Abstract
We extend harmonic map techniques to the setting of more general differential equations in conformal geometry. We obtain an extension of Siu's rigidity to Kahler-Weyl geometry and apply the latter to Vaisman's conjecture. Other applications include topological obstructions to the existence of Kahler-Weyl structures. For example, we show that no co-compact lattice in SO(1,n), n>2, can be the fundamental group of a compact Kahler-Weyl manifold of certain type.
Cite
@article{arxiv.0705.3821,
title = {On pseudo-harmonic maps in conformal geometry},
author = {Gerasim Kokarev},
journal= {arXiv preprint arXiv:0705.3821},
year = {2014}
}