Table of Contents
Volume 2014, Article ID 835394, 17 pages
Review Article

A Review on Unique Existence Theorems in Lightlike Geometry

Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada N9B 3P4

Received 10 March 2014; Accepted 27 May 2014; Published 7 July 2014

Academic Editor: Yuji Kodama

Copyright © 2014 K. L. Duggal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This is a review paper of up-to-date research done on the existence of unique null curves, screen distributions, Levi-Civita connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi-Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography. We also propose some open problems.