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Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold

진대호
대한수학회 (The Korean Mathematical Society)|2014.07|대한수학회논문집 (Communications of the KMS)|제29권 제3호|pp. 451-461

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참고문헌

키워드

indefinite generalized Sasakian space formhalf lightlike submanifoldindefinite trans-Sasakian manifold
주제분류수학

초록

We study the geometry of indefinite trans-Sasakian manifold ¯M , of type (α, β), admitting a half lightlike submanifold M such that the structure vector field of ¯M does not belong to the screen and coscreen distributions of M. The purpose of this paper is to prove several classification theorems of such an indefinite trans-Sasakian manifold.

Abstract

We study the geometry of indefinite trans-Sasakian manifold ¯M , of type (α, β), admitting a half lightlike submanifold M such that the structure vector field of ¯M does not belong to the screen and coscreen distributions of M. The purpose of this paper is to 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 Man-ifolds" (2007), World Scientific
  5. K. L. Duggal, "Differential geometry of lightlike submanifolds, Frontiers in Mathematics" (2010), Birkhauser
  6. Dae Ho Jin, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  7. Dae Ho Jin, "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", J. Funct. Spaces Appl, 2012 (2012)
  9. D. H. Jin, "The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold", Balkan J. Geom. 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. Geom. Appl, 18(1), pp.22~30 (2013)
  11. 진대호, "Special half lightlike submanifolds of an indefinite Sasakian manifold", 대한수학회논문집, 29(1), pp.109~121 (2014), 대한수학회
  12. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold", submitted in Balkan J. Geom. Appl, ~
  13. D. H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Math. Probl. Eng, 2011 (2011)
  14. J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32(3-4), pp.187~193 (1985)

관련 논문AI추천

INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLD진대호영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호Half lightlike submanifolds of an indefinite trans-Sasakian manifoldDae Ho Jin대한수학회 · 대한수학회보2014 · 제51권 제4호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION진대호장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Transversal lightlike submersions from indefinite Sasakian manifolds onto lightlike manifoldsShiv Sharma Shukla, Vipul Singh대한수학회 · 대한수학회논문집2023 · 제38권 제4호

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