Results 1 to 10 of about 72,675 (249)
Math Ann, 2023 We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.
Cascini P, Spicer C.
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Spacetime quantum and classical mechanics with dynamical foliation [PDF]
Physical Review D, 2023 The conventional phase space of classical physics treats space and time differently, and this difference carries over to field theories and quantum mechanics (QM). In this paper, the phase space is enhanced through two main extensions.
N. Diaz, J. Matera, R. Rossignoli
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Annales de la Faculté des sciences de Toulouse : Mathématiques, 2021 The purpose of this paper is to study singular holomorphic foliations of arbitrary codimension defined by logarithmic forms on projective spaces.
Cerveau, Dominique, Neto, Alcides Lins
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Log canonical foliation singularities on surfaces [PDF]
Mathematische Nachrichten, 2021 We give a classification of the dual graphs of the exceptional divisors on the minimal resolutions of log canonical foliation singularities on surfaces. As an application, we show the set of foliated minimal log discrepancies for foliated surface triples
Yen-An Chen
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Foliated vector bundles and Riemannian foliations [PDF]
Comptes Rendus. Mathématique, 2011 In this Note we prove the equivalence between the Riemannian foliation and each of the following conditions: 1) the lifted foliation Fr on the bundle of r-transverse jets is Riemannian for r⩾1; 2) the foliation F0r on the slashed J0r is Riemannian and vertically exact for r⩾1; 3) there exists a positively admissible transverse Lagrangian on J0rE, the r-
Popescu, Paul, Popescu, Marcela
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Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics [PDF]
Universe, 2019 The recently proposed holography-inspired approach to quantum gravity is reviewed and expanded. The approach is based on the foliation of the background spacetime and reduction of the offshell states to the physical states.
I. Park
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Cosmological backreaction and its dependence on spacetime foliation [PDF]
Classical and quantum gravity, 2018 The subject of cosmological backreaction in general relativity is often approached by coordinate-dependent and metric-based analyses. We present in this letter an averaging formalism for the scalar parts of Einstein’s equations that is coordinate ...
T. Buchert, P. Mourier, Xavier Roy
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Examples of foliations with foliated geometric structures [PDF]
Pacific Journal of Mathematics, 1990 We present examples of foliated compact nilmanifolds, whose foliations are neither simple nor given by suspensions, admitting various foliated geometric structures. For example, we construct foliations which are: 1. transversally symplectic but not transversally Kähler, 2. transversally symplectic but not transversally holomorphic, 3.
Cordero, Luis A., Wolak, Robert A.
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Bohmian Mechanics for a Degenerate Time Foliation [PDF]
, 2015 The version of Bohmian mechanics in relativistic space-time that works best, the hypersurface Bohm--Dirac model, assumes a preferred foliation of space-time into spacelike hypersurfaces (called the time foliation) as given.
Struyve, Ward, Tumulka, Roderich
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On the inner automorphisms of a singular foliation [PDF]
Mathematische Zeitschrift, 2018 A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold.
A. Garmendia, O. Yudilevich
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