Results 71 to 80 of about 73,367 (201)
In this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
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Quantum fields and entanglement on a curved lightfront
We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch.
Illan Halpern, Yasha Neiman
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A geometric flow on null hypersurfaces of Lorentzian manifolds
We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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Stochastic Dynamics From Maximum Entropy in Action Space
ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Surface and form in contemporary architecture / Paviršius ir forma šiuolaikinėje architektūroje
Architectural form in contemporary architecture gains more and more independence and visual difference from the tectonic structure of the building. Many researchers of contemporary architecture separate a building’s “skin” from its carcass.
Algimantas M. Mačiulis
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Abstract Drought indices represent essential tools for monitoring and evaluating drought conditions and evolution. Univariate indices employ the Probability Integral Transform to map data onto the standard Gaussian domain. Extending such a Gaussian normalization procedure to multivariate settings requires the usage of the Kendall distribution function ...
Carlo De Michele +3 more
wiley +1 more source
Construction of the field of Norden — Timofeev planes of hypersurfacese quipped with distributions
In the projective space the research of a hypersurface with three strongest mutual subbundles continues. The field of the invariant Norden — Timofeev planes is constructed that is internally attached to the hypersurface.
N. Eliseeva
doaj
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
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Convergent normal form for real hypersurfaces at generic Levi degeneracy [PDF]
We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface.
Kossovskiy, Ilya, Zaitsev, Dmitri
core
The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source

