Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold
Payel Karmakar
Received June 27, 2023. Published online April 17, 2024.
Abstract: We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla$ to be a metric connection.
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Affiliations: Payel Karmakar, Department of Mathematics, Jadavpur University, 188, Raja Subodh Chandra Mallick Road, Kolkata-700032, West Bengal, India, e-mail: payelkarmakar632@gmail.com
