Page 1 Differential Geometry. Lightlike Submanifolds Page 2 Page 3 Frontiers in Mathematics
Advisory Editorial Board Leonid Bunimovich (Georgia Institute of Technology, Atlanta) Benoît …

This is a first textbook that is entirely focused on the up-to-date developments of null curves
with their applications to science and engineering. It fills an important gap in a second-level …

Given a Lorentzian manifold (M, g L) and a timelike unitary vector field E, we can construct
the Riemannian metric g R= g L+ 2 ω⊗ ω, ω being the metrically equivalent one form to E …

In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-
symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen …

Translation and homothetical lightlike hypersurfaces of semi-Euclidean space Wendy Goemans,
Ignace Van de Woestyne HUB RESEARCH Page 1 Translation and homothetical lightlike …

The general theory of lightlike submanifolds makes use of a non-degenerate screen
distribution which is not unique and, therefore, the induced objects (starting from null curves) …

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Diaspora Journal of Mathematics Volume 16, Number 2, pp. 31–45 (2014) ISSN 1539-854X …

In this paper, we derive a Weierstrass-type representation formula for regular lightlike
surfaces in Lorentz-Minkowski 3-space. It allows a local parametrization of a regular lightlike …

We study degenerate curves in pseudo-Euclidean spaces of index two by introducing the
Cartan reference along a degenerate curve. We obtain several different types of degenerate …

Lightlike submanifolds in space-times (ie, time oriented Lorentzian manifolds) produce
mathematical models of horizons of different types in general relativity, eg, event horizons …