Screen conformal half-lightlike submanifolds
Articles > Article · 2004
Authors: K. L. Duggal, Bayram ŞAHİN
international Journal of Mathematics and Mathematical Sciences, Journal Indexed in AHCI, International, Scopus, 2004, vol 2004, pp 3737-3753
DOI: 10.1155/S0161171204403342
Summary
We study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S (TM) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S (TM). We prove some results on symmetric induced Ricci tensor and null sectional curvature of this class. Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.