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Totally Contact Umbilical Screen Transversal Lightlike Submanifolds of an Indefinite Sasakian Manifold


Abstract


In this paper, we study totally contact umbilical radical screen transversal and screen transversal anti-invariant lightlike submanifolds of an indefinite Sasakian manifold and obtain a geometric condition under which the induced connection nabla on a totally contact umbilical radical screen transversal lightlike submanifold is a metric connection. We prove a classification theorem for totally contact umbilical screen transversal anti-invariant lightlike submanifolds when the ambient space is an indefinite Sasakian manifold

DOI Code: 10.1285/i15900932v32n2p123

Keywords: Indefinite Sasakian manifolds; lightlike submanifolds; totally contact umbilical radical ST-lightlike submanifolds; totally contact umbilical ST-anti-invariant lightlike submanifolds

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