논문KCI 등재
Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection
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We study lightlike hypersurfaces $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ with a non-metric $\phi$-symmetric connection. We characterize the geometry of lightlike hypersurfaces of such a $\bar{M}$.
Abstract
We study lightlike hypersurfaces $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ with a non-metric $\phi$-symmetric connection. We characterize the geometry of lightlike hypersurfaces of such a $\bar{M}$.
참고문헌 (9)
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- P. Alegre, "Generalized Sasakian space form", Israel J. Math, 141, pp.157~183 (2004)
- C. Calin, "Contributions to geometry of CR-submanifold", pp.1998
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
- D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold", Indian J. Pure Appl. Math, 41(4), pp.569~581 (2010)
- D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat, 30(7), pp.1919~1930 (2016)
- 진대호, "Lightlike hypersurfaces of an indefinite Kaehler manifold with a semi-symmetric non-metric connection", 대한수학회지, 54(1), pp.101~115 (2017), 대한수학회
- J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32(3-4), pp.187~193 (1985)
관련 논문AI추천
Lightlike 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 quarter-symmetric metric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제3호Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제2호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2019 · 제34권 제2호Lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$진대호대한수학회 · 대한수학회논문집2016 · 제31권 제3호Non-existence of lightlike submanifolds of indefinite trans-Sasakian manifolds with non-metric θ-connections진대호대한수학회 · 대한수학회논문집2015 · 제30권 제1호
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