Results 231 to 240 of about 7,248 (254)

THE CHRISTOFFEL PROBLEM IN LORENTZIAN GEOMETRY

Journal of the Institute of Mathematics of Jussieu, 2005
The Christoffel problem, in its classical formulation, asks for a characterization of real functions defined on the unit sphere $S^{n-1}\subset\mathbb{R}^n$ which occur as the mean curvature radius, expressed in terms of the Gauss unit normal, of a closed convex hypersurface, i.e. the boundary of a convex body in $\mathbb{R}^n$ .
Levi Lopes de Lima, Jorge Herbert Soares de Lira   +1 more
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Sub-Lorentzian geometry on the Martinet distribution

Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
Two problems of sub-Lorentzian geometry on the Martinet distribution are studied. For the first, the reachability set has a nontrivial intersection with the Martinet plane, but for the second it does not. Reachable sets, optimal trajectories, sub-Lorentzian distances and spheres are described.
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A new geometry of a Lorentzian manifold

Publicationes Mathematicae Debrecen, 1998
In the study of a locally time-normalized spacetime manifold, the paper proposes a new norm which allows to consider canonical parameters on the curves and, subsequently, a length of a curve and a distance on the manifold. In this class of manifolds, the almost Minkowskian and locally Minkowskian manifolds are regarded and the existence of associated ...
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Lorentzian geometry of CR submanifolds

Acta Applicandae Mathematicae, 1989
A. Bejancu defined CR submanifolds of differentiable manifolds with a (positive definite) Riemannian metric and almost Hermitian structure as a generalization of holomorphic submanifolds and totally real submanifolds. In this article, the notion of CR submanifold is extended to orientable Lorentz submanifolds of semi-Riemannian manifolds with an almost
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Lorentzian Geometry and CR-Submanifolds

2016
This paper contains an up-to-date information on the Lorentzian geometry of CR-submanifolds, contact CR-submanifolds and globally framed CR-submanifolds (M, g) of an indefinite semi-Riemannian manifold. In view of the large number of excellent paper appearing in this field, we focus on those key results whose Lorentzian geometry is different than their
openaire   +1 more source

Lorentzian Geometry

2006
P.E. Ehrlich, S.B. Kim
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The twistor equation in Lorentzian spin geometry

Mathematische Zeitschrift, 2004
Helga Baum, Baum Helga, Felipe Leitner   +2 more
exaly  

Nonholonomic Lorentzian Geometry on Some ℍ-Type Groups

Journal of Geometric Analysis, 2009
Irina Markina, Markina Irina
exaly  

LORENTZIAN GEOMETRY

2012
openaire   +1 more source

Global Lorentzian Geometry

2017
John K. Beem, Paul E. Ehrlich, Kevin L. Easley   +2 more
openaire   +1 more source