Feng Luo
Published 2006-01-15, updated 2006-06-17Version 2
We characterization hyperbolic metrics on compact surfaces with boundary using a variational principle. As a consequence, a new parametrization of the Teichmuller space of compact surface with boundary is produced. In the new parametrization, the Teichmuller space becomes an open convex polytope. It is conjectured that the Weil-Petersson symplectic form can be expressed explicitly in terms of the new coordinate.
Comments: 15 pages, minor changes, adding some remarks, to appear in Duke Mathematical Journal
A tensorial description of the Turaev cobracket on genus 0 compact surfaces
A topological proof of Wolpert's formula for the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates
Geodesic Envelopes in the Thurston Metric on Teichmuller space
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