Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Symplectic Geometry
2010-12-20 v1
Abstract
This note collects a number of standard statements in Riemannian geometry and in Sobolev-space theory that play a prominent role in analytic approaches to symplectic topology. These include relations between connections and complex structures, estimates on exponential-like maps, and dependence of constants in Sobolev and elliptic estimates.
Keywords
Cite
@article{arxiv.1012.3980,
title = {Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology},
author = {Aleksey Zinger},
journal= {arXiv preprint arXiv:1012.3980},
year = {2010}
}
Comments
33 pages, 3 figures