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| | Project B1: Complex lines in tame almost complex tori | | | |
In its geometric setting Aubry-Mather Theory studies minimal
geodesics in compact Riemannian manifolds, in particular in
Riemannian tori. The present proposal aims at developing an
analogous theory for holomorphic maps from the complex plane
into a tame almost complex torus. These complex lines should
generalize the affine complex lines in a standard complex torus.
Although the nature of the differential equation and in particular
the absence of a variational characterization of complex lines
make the two problems very different there are some striking analogies:
A KAM type perturbation result by J. Moser and global results by the proposer.
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| | Project leader | | | |
Prof. Dr. Victor Bangert
Mathematisches Institut
Albert-Ludwigs-Universität
Eckerstr. 1
D-79104 Freiburg im Breisgau
Germany
Tel. +49 761 203-5562
Fax +49 761 203-5541
bangert@mathematik.uni-freiburg.de
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