논문KCI 등재
LOCALLY SYMMETRIC HALF LIGHTLIKE SUBMANIFOLDS IN AN INDEFINITE KENMOTSU MANIFOLD
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회논문집 (Communications of the KMS)|제27권 제3호|pp. 583-589
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In this paper, we study locally symmetric half lightlike submanifolds M of an indefinite Kenmotsu manifold $\bar{M}$ subject to the conditions: (1) The transversal vector bundle $tr(TM)$ is parallel with respect to the connection $\bar{\nabla}$ of $\bar{M}$ and (2) M is irrotational.
Abstract
In this paper, we study locally symmetric half lightlike submanifolds M of an indefinite Kenmotsu manifold $\bar{M}$ subject to the conditions: (1) The transversal vector bundle $tr(TM)$ is parallel with respect to the connection $\bar{\nabla}$ of $\bar{M}$ and (2) M is irrotational.
참고문헌 (9)
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
- K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
- K. L. Duggal, "Null Curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
- D. H. Jin, "The curvatures of lightlike hypersurfaces in an indefinite Kenmotsu manifold", Balkan Journal of Geometry and its Application, 17(2), pp.49~57 (2012)
- Dae Ho Jin, "EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES", 대한수학회보, 49(6), pp.1163~1178 (2012), 대한수학회
- K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tbohoku Math. J, 21, pp.93~103 (1972)
- D. N. Kupeli, "Singular Semi-Riemannian Geometry, In Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
- R. Shankar Gupta, "Lightlike submanifolds of indefinite Kenmotsu manifold", Int. J. Contemp. Math. Sci, 5(9-12), pp.475~496 (2010)
- K. Yano, "Integrable Formulas in Riemannian Geometry" (1970), Marcel Dekker
관련 논문AI추천
TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호Equivalence conditions of symmetry properties in lightlike hypersurfaces of indefinite Kenmotsu manifoldsFortun\'{e} Massamba, Joel Tossa, Oscar Lungiambudila대한수학회 · 대한수학회보2016 · 제53권 제4호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호Half 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 quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호
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