Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Blitz, Samuel"'
Autor:
Blitz, Samuel, Silhan, Josef
Warped products are one of the simplest families of Riemannian manifolds that can have non-trivial geometries. In this letter, we characterize the geometry of hypersurface embeddings arising from warped product manifolds using the language of higher
Externí odkaz:
http://arxiv.org/abs/2410.06706
Autor:
Blitz, Samuel, Majid, Shahn
Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, it has been proposed that the quantity of interest is the quantum uncer
Externí odkaz:
http://arxiv.org/abs/2405.18397
Autor:
Blitz, Samuel, Šilhan, Josef
We provide a natural generalization to submanifolds of the holographic method used to extract higher-order local invariants of both Riemannian and conformal embeddings, some of which depend on a choice of parallelization of the normal bundle. Qualita
Externí odkaz:
http://arxiv.org/abs/2405.07692
Autor:
Blitz, Samuel, McNutt, David
Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a null hypersurface in a Lorentzian manifold can be treated as a Carrollia
Externí odkaz:
http://arxiv.org/abs/2310.08141
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
Autor:
Blitz, Samuel
Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in boundary-value problems in cosmology and string theory. Viewed as the non-null conformal infinity of a spacetime, we consider hypersurfaces embedded in a Riemannian (
Externí odkaz:
http://arxiv.org/abs/2212.11711
Autor:
Blitz, Samuel
First introduced to describe surfaces embedded in $\mathbb{R}^3$, the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the surface minimizes bending and stretching. Both this invariant and its h
Externí odkaz:
http://arxiv.org/abs/2112.14378
Autor:
Blitz, Samuel1 (AUTHOR) blitz@math.muni.cz, McNutt, David2 (AUTHOR)
Publikováno v:
European Physical Journal C -- Particles & Fields. Jun2024, Vol. 84 Issue 6, p1-18. 18p.
Over forty years ago, Paneitz, and independently Fradkin and Tseytlin, discovered a fourth-order conformally-invariant differential operator, intrinsically defined on a conformal manifold, mapping scalars to scalars. This operator is a special case o
Externí odkaz:
http://arxiv.org/abs/2111.00179
An important problem is to determine under which circumstances a metric on a conformally compact manifold is conformal to a Poincar\'e--Einstein metric. Such conformal rescalings are in general obstructed by conformal invariants of the boundary hyper
Externí odkaz:
http://arxiv.org/abs/2107.10381