Existence, Convergence and Limit Map of the Laplacian Flow
Differential Geometry
2009-12-02 v1 Analysis of PDEs
Abstract
We prove short time existence and uniqueness of the Laplacian flow starting at an arbitrary closed -structure. We establish long time existence and convergence of the Laplacian flow starting near a torsion-free -structure. We analyze the limit map of the Laplacian flow in relation to the moduli space of torsion-free -structures. We also present a number of results which constitute a fairly complete algebraic and analytic basis for studying the Laplacian flow.
Keywords
Cite
@article{arxiv.0912.0074,
title = {Existence, Convergence and Limit Map of the Laplacian Flow},
author = {Feng Xu and Rugang Ye},
journal= {arXiv preprint arXiv:0912.0074},
year = {2009}
}
Comments
41 pages