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Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection

진대호
대한수학회 (The Korean Mathematical Society)|2018.09|대한수학회지 (Journal of the KMS)|제55권 제5호|pp. 1075-1089

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참고문헌

키워드

lightlike hypersurface$(\ellm)$-type connectionindefinite trans-Sasakian manifold
주제분류수학

초록

We define a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. We say that this connection is an $(\ell,\,m)$-type connection. Semi-symmetric non-metric connection and non-metric $\phi$-symmetric connection are two important examples of this connection such that $(\ell,\,m) = (1,\,0)$ and $(\ell,\,m) = (0,\,1)$, respectively. In this paper, we study lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection.

Abstract

We define a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. We say that this connection is an $(\ell,\,m)$-type connection. Semi-symmetric non-metric connection and non-metric $\phi$-symmetric connection are two important examples of this connection such that $(\ell,\,m) = (1,\,0)$ and $(\ell,\,m) = (0,\,1)$, respectively. In this paper, we study lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection.

참고문헌 (18)

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  11. 진대호, "Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection", 대한수학회보, 53(6), pp.1771~1783 (2016), 대한수학회
  12. 진대호, "LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 대한수학회지, 54(1), pp.101~115 (2017), 대한수학회
  13. 진대호, "Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection", 대한수학회보, 54(2), pp.619~632 (2017), 대한수학회
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  15. 진대호, "GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC Φ-SYMMETRIC CONNECTION", 대한수학회논문집, 32(4), pp.1047~1065 (2017), 대한수학회
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관련 논문AI추천

Lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$진대호대한수학회 · 대한수학회논문집2016 · 제31권 제3호Generic 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 symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2019 · 제34권 제2호Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l,m)-type Connection이재원, 이철우경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호

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