Screen conformal half-lightlike submanifolds

Makaleler > Tam Makale · 2004

Yazarlar: K. L. Duggal, Bayram ŞAHİN

international Journal of Mathematics and Mathematical Sciences, AHCI İndekslerine Giren Dergi, Uluslararası, Scopus, 2004, cilt 2004, ss 3737-3753

DOI: 10.1155/S0161171204403342

Özet

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.

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