Results 91 to 100 of about 32,038 (159)
Lightlike real hypersurfaces of paraquaternionic manifolds
, 2004 This paper has been ...
openaire +2 more sources
On the restriction of quantum fields to a lightlike surface
, 2004 To treat the front-form Hamiltonian approach to quantum field theory, called light cone quantum field theory, in a mathematically rigorous way, the existence of a well-defined restriction of the corresponding free fields to the hypersurface {x(0)+x(3)=0}
Peter Ullrich, Ullrich, Peter
core +1 more source
ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME
Bulletin of the Korean Mathematical Society, 2012 We provide a study of lightlike hypersurfaces of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike hypersurfaces with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.
openaire +2 more sources
Properties of Null Hypersurfaces
, 2016 The aim of this thesis is to investigate the effects that a lightlike singular hypersurface can have on a congruence of timelike (spacelike) geodesics and to extend the existing theory to the case of null geodesics.
Demirtshyan, Hovhannes
core
Covariant double-null dynamics: (2+2)-splitting of the Einstein equations
, 1996 We develop a (2 + 2)-imbedding formalism adapted to a double foliation of spacetime by a net of two intersecting families of lightlike hypersurfaces. The intersections define a set of 2-spaces with hypersurface-orthogonal lightlike normals. The formalism
Droz, S. +3 more
core
Connectivity by geodesics on a class of globally hyperbolic spacetimes [PDF]
, 2016 During the past years there has been a considerable amount of research related to the problem of geodesic connectedness of Lorentzian manifolds. This topic has wide applications in Physics, but for mathematicians its interest is essentially due to the
Bartolo, Rossella, Bartolo, Rosella
core
SCREEN ISOTROPIC LEAVES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD
Bulletin of the Korean Mathematical Society, 2017 In the present paper, screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold are introduced and studied which are inspired by the definition of isotropic immersions in the Riemannian context. Some examples of such leaves are mentioned. Furthermore, some relations involving curvature invariants are obtained.
openaire +4 more sources
Espace-temps globalement hyperboliques conformément plats
, 2012 As a consequence of the Lorentzian version of Liouville’s Theorem, everyconformally flat space-time of dimension 3 is a (Ein1,n,O0(2, n + 1))-manifold.
Rossi Salvemini, Clara
core +3 more sources
On Level Hypersurfaces of the Vertical Lift of a Submersion
Suppose that (M, G) be a Riemannian manifold and f: M ? ? be a submersion. Then the vertical lift of f, fv: T M ? ? defined by fv = f ? ? is also a submersion.
Yıldırım, Mehmet, Özkan, Ayşenur
core +1 more source
Stationary acceleration of Frenet curves. [PDF]
J Inequal Appl, 2017 Abazari N, Bohner M, Sağer I, Yayli Y.
europepmc +1 more source