7 papers · 1 filter
Potential Carroll Structures and Special Carrollian Manifolds
Samuel Blitz, Gabriel Herczeg, David McNutt
It is well-known that unlike space-like and time-like hypersurfaces, null hypersurfaces in Lorentzian manifolds do not naturally inherit an affine connection from the spacetime in…
Einstein and Yang-Mills implies conformal Yang-Mills
Samuel Blitz, A. Rod Gover, JarosÅaw KopiÅski +1
There exist conformally invariant, higher-derivative, variational analogs of the Yang-Mills condition for connections on vector bundles over a conformal manifold of even dimension…
Conformal hypersurface invariants and Bach-type Boundary Problems
Samuel Blitz, A. Rod Gover
Using variational considerations, we establish that there exists a new symmetric trace-free tensor conformal invariant of hypersurfaces embeddings in even dimensional conformal man…
The Dirichlet-to-Neumann Map for Poincaré-Einstein Fillings
Samuel Blitz, A. Rod Gover, JarosÅaw KopiÅski +1
We study the non-linear Dirichlet-to-Neumann map for the Poincaré-Einstein filling problem. For even dimensional manifolds the range of this non-local map is described in terms of…
Non-existence of higher-order conformal fundamental forms in odd dimensions
Samuel Blitz
Conformal fundamental forms populate a minimal generating set for low differential order invariants of conformal hypersurface embeddings. In this work we complete the characterizat…
Higher Fundamental Forms and Warped Product Hypersurfaces
Samuel Blitz, Josef Silhan
Warped products are one of the simplest families of Riemannian manifolds that can have non-trivial geometries. In this article, we characterize the geometry of hypersurface embeddi…