Mehmet Atçeken, Gaziosmanpasa University, Faculty of Arts and Sciences, Department of Mathematics, 60100 Tokat, Turkey, e-mail: firstname.lastname@example.org; Shyamal Kumar Hui, Nikhil Banga Sikshan Mahavidyalaya, Bishnupur, 722 122 Bankura, West Bengal, India, e-mail: email@example.com
Abstract: We show new results on when a pseudo-slant submanifold is a $ LCS$-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an $ LCS$-manifold to illustrate the subject.
Keywords: slant submanifold, pseudo-slant submanifold, $ LCS$-manifold
Classification (MSC 2010): 53C15, 53C25
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