Zobrazeno 1 - 10
of 4 310
pro vyhledávání: '"A. Gover"'
Autor:
Dunajski, Maciej, Gover, A. Rod
We establish a one-to-one correspondence between K\"ahler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection, where the parallel sections satisfy a set of non--linear algebraic co
Externí odkaz:
http://arxiv.org/abs/2409.17347
We prove that the renormalized Yang-Mills energy on six dimensional Poincar\'e-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the corresponding anomaly
Externí odkaz:
http://arxiv.org/abs/2409.06995
We address the problem of how to characterise when a rank-two conformal Killing tensor is the trace-free part of a Killing tensor for a metric in the conformal class. We call such a metric a Killing scale. Our approach is via differential prolongatio
Externí odkaz:
http://arxiv.org/abs/2406.17212
Autor:
Zhang, Bin, Ianconescu, Reuven, Friedman, Aharon, Scheuer, Jacob, Tokman, Mikhail, Pan, Yiming, Gover, Avraham
It has been shown that the spontaneous emission rate of photons by free electrons, unlike stimulated emission, is independent of the shape or modulation of the quantum electron wavefunction (QEW). Nevertheless, here we show that the quantum state of
Externí odkaz:
http://arxiv.org/abs/2401.05978
Autor:
Gover, A. Rod, Wheeler, Valentina-Mira
On a manifold we term a hypersurface foliation a slicing if it is the level set foliation of a slice function -- meaning some real valued function $f$ satisfying that $df$ is nowhere zero. On Riemannian manifolds we give a non-linear PDE on functions
Externí odkaz:
http://arxiv.org/abs/2312.12796
On conformally compact manifolds we study Yang-Mills equations, their boundary conditions, formal asymptotics, and Dirichlet-to-Neumann maps. We find that smooth solutions with "magnetic" Dirichlet boundary data are obstructed by a conformally invari
Externí odkaz:
http://arxiv.org/abs/2311.11458
Publikováno v:
Phys. Rev. Lett. 133, 011401 2024
We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial singularity and characterize allowed general relativistic stress
Externí odkaz:
http://arxiv.org/abs/2310.19269
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally
Externí odkaz:
http://arxiv.org/abs/2309.09361
Autor:
Gover, A. Rod, Gursky, Matthew J.
Let $(M^4,g)$ be a smooth, closed, oriented anti-self-dual (ASD) four-manifold. $(M^4,g)$ is said to be unobstructed if the cokernel of the linearization of the self-dual Weyl tensor is trivial. This condition can also be characterized as the vanishi
Externí odkaz:
http://arxiv.org/abs/2307.12432
We study the non-linear Dirichlet-to-Neumann map for the Poincar\'e-Einstein filling problem. For even dimensional manifolds we describe the range of this non-local map in terms of a natural rank two tensor along the boundary determined by the Poinca
Externí odkaz:
http://arxiv.org/abs/2307.08470