Screen semi-invariant lightlike submanifolds of an indefinite Kenmotsu statistical manifold

Mobin Ahmad; Mahtab Alam; Sahadat Ali

doi:10.4134/CKMS.c250017

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Screen semi-invariant lightlike submanifolds of an indefinite Kenmotsu statistical manifold

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Lightlike submanifolds screen semi-invariant Kenmotsu manifold statistical manifold

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초록

In this article, we introduce an indefinite Kenmotsu statistical manifold and study its screen semi-invariant lightlike submanifolds. We investigate the integrability of distributions, self adjointness of shape operator and symmetricity of second fundamental forms of screen semi-invariant lightlike submanifolds of an indefinite Kenmotsu statistical manifold. We also provide two examples to illustrate these concepts.

Abstract

In this article, we introduce an indefinite Kenmotsu statistical manifold and study its screen semi-invariant lightlike submanifolds. We investigate the integrability of distributions, self adjointness of shape operator and symmetricity of second fundamental forms of screen semi-invariant lightlike submanifolds of an indefinite Kenmotsu statistical manifold. We also provide two examples to illustrate these concepts.

관련 논문AI추천

Screen Slant Lightlike Submanifolds of Inde¯nite Kenmotsu ManifoldsAbhitosh Upadhyay, Ram Shankar Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호 Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds진대호대한수학회 · 대한수학회논문집2013 · 제28권 제2호 Screen Slant Lightlike Submanifolds of Indefinite Sasakian ManifoldsAdvin, Mamta Thakur, S. M. Khursheed Haider경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호 ON CLASSES OF INDEFINITE β-KENMOTSU STATISTICAL MANIFOLDJasleen Kaur Virdi, Shagun Bhatti강원경기수학회 · 한국수학논문집2024 · 제32권 제4호 Statical half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvatureDae Ho Jin대한수학회 · 대한수학회논문집2016 · 제31권 제2호 Invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connectionJasleen Kaur Virdi, Rajinder Kaur강원경기수학회 · 한국수학논문집2024 · 제32권 제3호

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