Results 91 to 100 of about 112,777 (272)
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
Singularities of spherical surface in R4
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj +1 more source
On some properties of the asymptotic Samuel function
Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
wiley +1 more source
On the hypersurface of Lüroth quartics
The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane.
OTTAVIANI, GIORGIO MARIA, E. Sernesi
openaire +5 more sources
$F$-thresholds of hypersurfaces [PDF]
19 pages; v.2: a slight modification of the argument allowed us to extend our results to the case of an arbitrary regular F-finite ring; v.3: final version, to appear in Transactions of the ...
Mircea Mustaţǎ+2 more
openaire +3 more sources
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
doaj +1 more source
Characteristic Varieties of Hypersurface Complements [PDF]
We give divisibility results for the (global) characteristic varieties of hypersurface complements expressed in terms of the local characteristic varieties at points along one of the irreducible components of the hypersurface.
Liu, Yongqiang, Maxim, Laurentiu
core
Bubble collisions and measures of the multiverse
To compute the spectrum of bubble collisions seen by an observer in an eternally-inflating multiverse, one must choose a measure over the diverging spacetime volume, including choosing an "initial" hypersurface below which there are no bubble nucleations.
A. Aguirre+26 more
core +1 more source
Elucidating the Three‐Dimensional Structure of Piracetam through Rotational Spectroscopy
Neutral molecules of the nootropic drug piracetam are generated by laser ablation and structurally characterized by microwave spectroscopy. Two conformers differing in the exo/endo configuration of the pyrrolidine ring are detected, with exo being the predominant form.
S. Mato+4 more
wiley +1 more source
The conjugate of a hypersurface
In this study, the idea of the conjugate of a surface in E given by TH. Hasanis and D. Koutroufiotis [3] has been generalized for a hypersurface in E . A necessary and sufficient condition for having the conjugate of a hypersurface has been given. Gauss and mean curvatures of the conjugate hypersurface have also been calculated.
S. Keleş, E Kiliç
openaire +2 more sources