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Lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$

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대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회논문집 (Communications of the KMS)|제31권 제3호|pp. 613-624

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참고문헌

키워드

lightlike hypersurfacemetric connectionsymmetric connection of type $(\ell\m)$
주제분류수학

초록

We define a new connection on a semi-Riemannian manifold. Its notion contains two well known notions; (1) semi-symmetric connection and (2) quarter-symmetric connection. In this paper, we study the geometry of lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$.

Abstract

We define a new connection on a semi-Riemannian manifold. Its notion contains two well known notions; (1) semi-symmetric connection and (2) quarter-symmetric connection. In this paper, we study the geometry of lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$.

참고문헌 (19)

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관련 논문AI추천

Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection진대호대한수학회 · 대한수학회지2018 · 제55권 제5호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-symmetric non-metric connection of type $(\ell, m)$이재원, 이철우대한수학회 · 대한수학회논문집2020 · 제35권 제4호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection진대호대한수학회 · 대한수학회보2016 · 제53권 제6호Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제2호Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호

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