Local convexity of renormalized volume for rank-1 cusped manifolds
Differential Geometry
2018-06-21 v2
Abstract
We study the critical points of the renormalized volume for acylindrical geometrically finite hyperbolic 3-manifolds that include rank-1 cusps, and show that the renormalized volume is locally convex around these critical points. We give a modified definition of the renormalized volume that is additive under gluing, and study some local properties.
Keywords
Cite
@article{arxiv.1505.00479,
title = {Local convexity of renormalized volume for rank-1 cusped manifolds},
author = {Franco Vargas Pallete},
journal= {arXiv preprint arXiv:1505.00479},
year = {2018}
}
Comments
12 pages