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SLANT LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

진대호|이재원
한국수학교육학회|2012.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제2호|pp. 111-125|DOI http://dx.doi.org/10.7468/jksmeb.2012.19.2.111

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키워드

slant lightlikesubmanifold
주제분류수학

초록

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Sasakian manifold. We provide a non-trivial example and obtain necessary and su±cient conditions for the existence of a slant lightlike submanifold. Also, we prove some characterization theorems.

Abstract

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Sasakian manifold. We provide a non-trivial example and obtain necessary and su±cient conditions for the existence of a slant lightlike submanifold. Also, we prove some characterization theorems.

참고문헌 (12)

  1. Chen, B.Y., "Geometry of Submanifolds" (1973), Marcel Dekker
  2. Chen, B.Y, "Geometry of Slant submanifolds" (1990), Katheolieke Universiteit
  3. Chen, B.Y, "Slant Immersions", Bull. Aust. Math. Soc, 41, pp.135~147 (1990)
  4. Duggal, K.L, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. Duggal, K.L., "Totally umbilical lightlike submanifolds", Kodai Math. J, 26, pp.49~68 (2003)
  6. Duggal, K.L., "Generalized Cauchy-Riemann lightlike Submanifolds of in-de¯nite Sasakian manifolds", Acta Math. Hungar, 112(1), pp.113~136 (2006)
  7. Duggal, K.L., "Lightlike Submanifolds of inde¯nite Sasakian manifolds", Int. J. Math. and Math. Sci. Art ID, 57585, pp.1~21 (2007)
  8. Gupta, R.S., "Slant lightlike submanifolds of inde¯nite Kenmotsu manifolds", Turkish J. Math, 34, pp.1~13 (2010)
  9. Gupta, R.S., "Slant lightlike submanifolds of inde¯nite Cosymplectic manifolds", Mediterr. J. Math[DOI]
  10. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD", INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 41(4), pp.569~581, INDIAN NAT SCI ACAD
  11. Sahin, B, "Slant lightlike submanifolds of inde¯nite Hermitian manifolds", Balkan J. of Geometry and Its App, 13, pp.107~119 (2008)
  12. Takahashi, T, "Sasakian manifolds with pseudo-Riemannian metric", Tohoku Math. J, 21, pp.271~290 (1969)

관련 논문AI추천

Semi-Slant Lightlike Submanifolds of Inde nite Sasakian ManifoldsAkhilesh Yadav, Shiv Sharma Shukla경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Screen Slant Lightlike Submanifolds of Indefinite Sasakian ManifoldsAdvin, Mamta Thakur, S. M. Khursheed Haider경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호Lightlike submanifolds of an indefinite Sasakian manifold with a non-metric θ-connection진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호

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