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TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

진대호
한국수학교육학회|2011.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제1호|pp. 51-61

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참고문헌

키워드

totally umbilicalscreen conformaltransversal lightlike submanifoldinde¯nite Sasakian manifolds.
주제분류수학

초록

In this paper, we study the geometry of transversal half lightlike sub-manifolds of an indenfinite Sasakian manifold. The main result is to prove three characterization theorems for such a transversal half lightlike submanifold. In addi-tion to these main theorems, we study the geometry of totally umbilical transversal half lightlike submanifolds of an inde¯nite Sasakian manifold.

Abstract

In this paper, we study the geometry of transversal half lightlike sub-manifolds of an indenfinite Sasakian manifold. The main result is to prove three characterization theorems for such a transversal half lightlike submanifold. In addi-tion to these main theorems, we study the geometry of totally umbilical transversal half lightlike submanifolds of an inde¯nite Sasakian manifold.

참고문헌 (14)

  1. Atindogbe, C., "Conformal screen on lightlike hypersurfaces", Interna-tional J. of Pure and Applied Math, 11(4), pp.421~442 (2004)
  2. gal, K.L,, "Lightlike submanifolds of codimension", Math. J. Toyama Univ, 2(15), pp.59~82 (1992)
  3. Duggal, K.L., "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  4. Duggal, K.L., "Half-Lightlike Submanifolds of Codimension", Math. J. Toyama Univ, 2(22), pp.121~161 (1999)
  5. Duggal, K.L., "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scien-tific
  6. Duggal, K.L., "Generalized Cauchy-Riemann lightlike Submanifolds of in-definite 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, pp.1~21 (2007)
  8. 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
  9. 진대호, "REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES", 순수 및 응용수학, 17(1), pp.51~63 (2010), 한국수학교육학회
  10. 진대호, "HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 순수 및 응용수학, 17(1), pp.29~38 (2010), 한국수학교육학회
  11. Jin, D.H., "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD", INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 41(4), pp.569~581 (2010), INDIAN NAT SCI ACAD
  12. Kang, T.H, "Lightlike hypersurfaces of inde¯nite Sasakian manifolds", Indian J. Pure and Appl. Math, 34, pp.1369~1380 (2003)
  13. Kupeli, D. N., "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
  14. Yano, K., "On transversal hypersurfaces of an almost contact manifold Kodai Math", Sem. Rep, 24, pp.459~470 (1972)

관련 논문AI추천

INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLD진대호영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호Half lightlike submanifolds of an indefinite trans-Sasakian manifoldDae Ho Jin대한수학회 · 대한수학회보2014 · 제51권 제4호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION진대호장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION진대호영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호

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