266 citations · 323 across the 20 of their papers we have counts for
25 papers
A Gauss-Bonnet formula for the renormalized area of minimal submanifolds of Poincaré-Einstein manifolds
Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo +2
Assuming the extrinsic -curvature admits a decomposition into the Pfaffian, a scalar conformal submanifold invariant, and a tangential divergence, we prove that the renormalized…
Extrinsic GJMS operators for submanifolds
Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo
We derive extrinsic GJMS operators and -curvatures associated to a submanifold of a conformal manifold. The operators are conformally covariant scalar differential operators on…
Fermi acceleration in rotating drums
Krzysztof Burdzy, Mauricio Duarte, Carl-Erik Gauthier +2
Consider hard balls in a bounded rotating drum. If there is no gravitation then there is no Fermi acceleration, i.e., the energy of the balls remains bounded forever. If there is g…
Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification
Nikolas Eptaminitakis, C. Robin Graham
We prove local injectivity near a boundary point for the geodesic X-ray transform for an asymptotically hyperbolic metric even mod in dimensions three and higher.
Asymptotically Hyperbolic Manifolds with Boundary Conjugate Points but no Interior Conjugate Points
Nikolas Eptaminitakis, C. Robin Graham
We construct non-trapping asymptotically hyperbolic manifolds with boundary conjugate points but no interior conjugate points.
Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four
C. Robin Graham, Matthew J. Gursky
We derive a formula of Chern-Gauss-Bonnet type for the Euler characteristic of a four dimensional manifold-with-boundary in terms of the geometry of the Loewner-Nirenberg singular…