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Geometry of half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connection

Rakesh Kumar|Garima Gupta
대한수학회 (The Korean Mathematical Society)|2020.07|대한수학회논문집 (Communications of the KMS)|제35권 제3호|pp. 979-998|DOI 10.4134/CKMS.c190401

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참고문헌

키워드

quarter-symmetric metric connectionnull sectional curvatureIndefinite Kaehler manifoldreal half lightlike submanifoldsinduced Ricci type tensor
주제분류수학

초록

We study totally umbilical real half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connection. We obtain some conditions for a real half lightlike submanifold of an indefinite Kaehler manifold with a quarter-symmetric metric connection to be a product manifold. We derive the expression for induced Ricci type tensor $\mathcal{R}^{(0, 2)}$ and also obtain conditions for $\mathcal{R}^{(0, 2)}$ to be symmetric.

Abstract

We study totally umbilical real half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connection. We obtain some conditions for a real half lightlike submanifold of an indefinite Kaehler manifold with a quarter-symmetric metric connection to be a product manifold. We derive the expression for induced Ricci type tensor $\mathcal{R}^{(0, 2)}$ and also obtain conditions for $\mathcal{R}^{(0, 2)}$ to be symmetric.

참고문헌 (23)

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관련 논문AI추천

Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회논문집2017 · 제32권 제1호Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호Generic lightlike submanifolds of an indefinite Kaehler manifold with a quarter-symmetric metric connection진대호대한수학회 · 대한수학회보2018 · 제55권 제2호Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제2호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호

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