본문 바로가기
KERD
논문KCI 등재

INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLD

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We study the geometry of indefinite trans-Sasakian manifold M ̄ admitting a half lightlike submanifold M such that the structure vector field of M ̄ belongs to the transversal vector bundle of M. We prove several classification theorems of such an indefinite trans-Sasakian manifold.

Abstract

We study the geometry of indefinite trans-Sasakian manifold M ̄ admitting a half lightlike submanifold M such that the structure vector field of M ̄ belongs to the transversal vector bundle of M. We prove several classification theorems of such an indefinite trans-Sasakian manifold.

참고문헌 (14)

  1. P. Alegre, "Generalized Sasakian space form", Israel J. Math, 141, pp.157~183 (2004)
  2. K.L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  3. K.L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  4. K.L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Mani-folds" (2007), World Scientific
  5. K.L. Duggal, "Frontiers in Mathematics" (2010), Birkhauser
  6. 진대호, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  7. 진대호, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  8. D.H. Jin, "Special half lightlike submanifolds of an indefinite cosymplectic manifold", Journal of Function Spaces and Applications, pp.1~16 (2012)
  9. D.H. Jin, "The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold", Balkan J. of Geo. and Its Appl, 17(1), pp.49~57 (2012)
  10. D.H. Jin, "Non-existence of screen homothetic half lightlike submanifolds of an indefinite Kenmotsu manifold", Balkan J. Geo. Its Appl, 18(1), pp.22~30 (2013)
  11. 진대호, "Non-tangential half lightlike submanifolds of an indefinite cosymplectic manifold", 순수 및 응용수학, 20(2), pp.89~101 (2013), 한국수학교육학회
  12. D.H. Jin, "Geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold", Applied Mathematical Sciences, 10(13), pp.625~636 (2016)
  13. D.H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Math. Prob. in Engineering, pp.1~16 (2011)
  14. J.A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32, pp.187~193 (1985)

관련 논문AI추천

이 간행물의 다른 논문 (7건)