DOI: 10.36890/iejg.1891383 ISSN: 1307-5624

Generic Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds Immersed as Warped Products

Sofia Singla, Abhishek Shrivastava, Sangeet Kumar
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This work studies generic lightlike submanifolds immersed as warped product in indefinite nearly Kähler manifolds. We establish the non-existence of generic lightlike warped product submanifolds of the form $K_\perp \times_\lambda K_T$. Then, we present an explicit example of proper warped product generic lightlike submanifolds of the form $K_T \times_\lambda K_\perp$ in indefinite nearly Kähler manifolds and find some results for this form of warped products in terms of natural morphism structures $t$ and $f$. Further, we find some sharp inequalities for the second fundamental form are derived, including results in indefinite generalized complex space forms.

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