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Renormalized volume of minimally bounded regions in asymptotically hyperbolic Einstein spaces by Gursky, Matthew J.; McKeown, Stephen E.; Tyrrell, Aaron J. is a scholarly article available to read on EtoBox.

What is Renormalized volume of minimally bounded regions in asymptotically hyperbolic Einstein spaces about?

We define a renormalized volume for a region in an asymptotically hyperbolic Einstein manifold that is bounded by a Graham-Witten minimal surface and the conformal infinity. We prove a Gauss-Bonnet theorem for the renormalized volume, and compute its derivative under variations of the minimal hypersurface.

Author

Gursky, Matthew J.; McKeown, Stephen E.; Tyrrell, Aaron J.

Published

2021

Language

EN