Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology

Details Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology

2010-12-17

arxiv.org/abs/1012.3980v1

Mathematics

Symplectic Geometry

33 pages, 3 figures

Scientific paper

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.

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