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Half lightlike submanifolds of an indefinite trans-Sasakian manifold

Dae Ho Jin
대한수학회 (The Korean Mathematical Society)|2014.08|대한수학회보 (Bulletin of the KMS)|제51권 제4호|pp. 979-994

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참고문헌

키워드

half lightlike submanifoldtotally umbilicalscreen conformalindefinite trans-Sasakian manifoldscreen totally umbilical
주제분류수학

초록

We study half lightlike submanifold M of an indefinite trans- Sasakian manifold such that its structure vector field is tangent to M. First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.

Abstract

We study half lightlike submanifold M of an indefinite trans- Sasakian manifold such that its structure vector field is tangent to M. First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.

참고문헌 (20)

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  2. P. Alegre, "Generalized Sasakian space form", Israel J. Math, 141, pp.157~183 (2004)
  3. C. Cˇalin, "Contributions to geometry of CR-submanifold", pp.1998
  4. G. de Rham, "Sur la r´eductibilit´e d’un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
  5. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  6. K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  7. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  8. K. L. Duggal, "Generic lightlike submanifolds of an indefinite Sasakian manifold", Int. Electron. J. Geom, 5(1), pp.108~119 (2012)
  9. K. L. Duggal, "Generalized Cauchy-Riemann lightlike submanifolds of in-definite Sasakian manifolds", Acta Math. Hungar, 112(1-2), pp.113~136 (2006)
  10. K. L. Duggal, "Lightlike Submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, 2007 (2007)
  11. K. L. Duggal, "Differential geometry of lightlike submanifolds, Frontiers in Mathematics" (2010), Birkh¨auser
  12. Dae Ho Jin, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  13. Dae Ho Jin, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  14. D. H. Jin, "Special half lightlike submanifolds of an indefinite cosymplectic manifold", J. Funct. Spaces Appl, 2012, pp.1~16 (2012)
  15. D. H. Jin, "The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold", Balkan J. Geom. Appl, 17(1), pp.49~57 (2012)
  16. 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)
  17. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold", submitted in Balkan J. Geo. Its Appl
  18. D. H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Math. Prob. Eng, 2011, pp.1~16 (2011)
  19. T. H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds,", Indian J. Pure Apple. Math, 34(9), pp.1369~1380 (2003)
  20. 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 MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION진대호장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제3호TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호

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