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- W4297908183 abstract "The Hessian of the renormalized volume of geometrically finite hyperbolic $3$-manifolds without rank-$1$ cusps, computed at the hyperbolic metric $g$ with totally geodesic boundary of the convex core, is shown to be a strictly positive bilinear form on the tangent space to Teichmuller space. The metric $g$ is known from results of Bonahon and Storm to be an absolute minimum for the volume of the convex core. We deduce the strict convexity of the functional volume of the convex core at its minimum point." @default.
- W4297908183 created "2022-10-01" @default.
- W4297908183 creator A5003172329 @default.
- W4297908183 date "2015-03-27" @default.
- W4297908183 modified "2023-09-26" @default.
- W4297908183 title "Convexity of the renormalized volume of hyperbolic $3$-manifolds" @default.
- W4297908183 doi "https://doi.org/10.48550/arxiv.1503.07981" @default.
- W4297908183 hasPublicationYear "2015" @default.
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