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doi:10.2996/kmj/1138037271 K. L. Duggal and D. H. Jin, “Totally Umbilical Lightlike Submanifolds,” Kodai Mathematical Journal, Vol. 26, No. 1, 2003, pp. 49-68. doi:10.2996/kmj/1050496648

has been cited by the following article:

• TITLE: Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds

  AUTHORS: S. M. Khursheed Haider, Advin Maseih, Mamta Thakur

  KEYWORDS: Semi-Riemannian Product Manifolds; Lightlike Submanifolds; Totally Umbilical Radical ST-Lightlike Submanifolds; Totally Umbilical ST-Anti-Invariant Lightlike Submanifolds

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.4, July 30, 2012

  ABSTRACT: We study totally umbilical screen transversal lightlike submanifolds immersed in a semi-Riemannian product manifold and obtain necessary and sufficient conditions for induced connection ▽ on a totally umbilical radical screen transversal lightlike submanifold to be metric connection. We prove a theorem which classifies totally umbilical ST-anti-invariant lightlike submanifold immersed in a semi-Riemannian product manifold.