Add to ORKGI will begin by reviewing the renormalized volume for Poincaré-Einstein metrics. I will then discuss an analogous construction of renormalized volume for singular Yamabe (a.k.a. Loewner-Nirenberg) metrics. I will conclude by describing joint work with Matt Gursky concerning an unexpected invariance property of the renormalized volume for singular Yamabe metrics in dimension $4$ related to the Chern-Gauss-Bonnet formula and related phenomena for solutions of a singular $\sigma_2$ Yamabe problem.Non UBCUnreviewedAuthor affiliation: University of WashingtonFacult
The task of this work is to study with details the results of O. Kobayashi (KOBAYASHI, 1987), which ...
If (M, g) is a compact Riemannian manifold without boundary, of dimension n> 3, there is at least...
25 pagesInternational audienceWe continue our previous work studying critical exponent semilinear el...
We develop a universal distributional calculus for regulated volumes of metrics that are si...
We define a renormalized volume for a region in an asymptotically hyperbolic Einstein manifold that ...
We develop a general regulated volume expansion for the volume of a manifold with boundary ...
New properties are derived of renormalized volume functionals, which arise as coefficients in the as...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg ineq...
We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry...
59 pagesInternational audienceWe study the renormalized volume of asymptotically hyperbolic Einstein...
Motivated by the work of Li and Mantoulidis [C. Li, C. Mantoulidis, Positive scalar curvature with s...
Poon Chi Cheung.Bibliography: leaves 66-69Thesis (M.Ph.)--Chinese University of Hong Kong, 198
Renormalized volume $\VR$ is a quantity that gives a notion of volume for hyperbolic manifolds havin...
Indexación: Scopus.The authors thank D.E. Díaz, P. Sundell and A. Waldron for interesting discussion...
The task of this work is to study with details the results of O. Kobayashi (KOBAYASHI, 1987), which ...
If (M, g) is a compact Riemannian manifold without boundary, of dimension n> 3, there is at least...
25 pagesInternational audienceWe continue our previous work studying critical exponent semilinear el...
We develop a universal distributional calculus for regulated volumes of metrics that are si...
We define a renormalized volume for a region in an asymptotically hyperbolic Einstein manifold that ...
We develop a general regulated volume expansion for the volume of a manifold with boundary ...
New properties are derived of renormalized volume functionals, which arise as coefficients in the as...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg ineq...
We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry...
59 pagesInternational audienceWe study the renormalized volume of asymptotically hyperbolic Einstein...
Motivated by the work of Li and Mantoulidis [C. Li, C. Mantoulidis, Positive scalar curvature with s...
Poon Chi Cheung.Bibliography: leaves 66-69Thesis (M.Ph.)--Chinese University of Hong Kong, 198
Renormalized volume $\VR$ is a quantity that gives a notion of volume for hyperbolic manifolds havin...
Indexación: Scopus.The authors thank D.E. Díaz, P. Sundell and A. Waldron for interesting discussion...
The task of this work is to study with details the results of O. Kobayashi (KOBAYASHI, 1987), which ...
If (M, g) is a compact Riemannian manifold without boundary, of dimension n> 3, there is at least...
25 pagesInternational audienceWe continue our previous work studying critical exponent semilinear el...