On pseudo-harmonic maps in conformal geometry

Details On pseudo-harmonic maps in conformal geometry On pseudo-harmonic maps in conformal geometry

2007-05-25

arxiv.org/abs/0705.3821v3

Proc. London Math. Soc. 99 (2009), 168-194.

Mathematics

Differential Geometry

errors corrected, revised versions of the results, the proof of the factorisation theorem is re-written, references updated, 3

Scientific paper

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.

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