본문 바로가기
KERD
논문KCI 등재

Indefinite generalized Sasakian space form admitting a generic lightlike submanifold

진대호
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1711-1726

0

조회

0

다운로드

6

인용

0

참고문헌

키워드

indefinite generalized Sasakian space formlightlike submanifoldindefinite trans-Sasakian manifold
주제분류수학

초록

In this paper, we study the geometry of indefinite generalized Sasakian space form ¯M(f1, f2, f3) admitting a generic lightlike submanifold M subject such that the structure vector field of ¯M(f1, f2, f3) is tangent to M. The purpose of this paper is to prove a classification theorem of such an indefinite generalized Sasakian space form.

Abstract

In this paper, we study the geometry of indefinite generalized Sasakian space form ¯M(f1, f2, f3) admitting a generic lightlike submanifold M subject such that the structure vector field of ¯M(f1, f2, f3) is tangent to M. The purpose of this paper is to prove a classification theorem of such an indefinite generalized Sasakian space form.

참고문헌 (23)

  1. P. Alegre, "Generalized Sasakian space form", Israel J. Math, 141, pp.157~183 (2004)
  2. C. Cˇalin, "Contributions to geometry of CR-submanifold", pp.1998
  3. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  4. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26(1), pp.49~68 (2003)
  5. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  6. K. L. Duggal, "Generic lightlike submanifolds of an indefinite Sasakian manifold", Int. Electron. J. Geom, 5(1), pp.108~119 (2012)
  7. K. L. Duggal, "Generalized Cauchy-Riemann lightlike Submanifolds of indefinite Sasakian manifolds", Acta Math. Hungar, 112(1-2), pp.107~130 (2006)
  8. K. L. Duggal, "Lightlike Submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, 2007, pp.1~21 (2007)
  9. K. L. Duggal, "Differential Geometry of Lightlike Submanifolds" (2010), Frontiers in Mathematics
  10. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold", Indian J. Pure Appl. Math, 41(4), pp.569~581 (2010)
  11. Dae Ho Jin, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  12. Dae Ho Jin, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  13. D. H. Jin, "The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold", Balkan J. Geom. Appl, 17(1), pp.49~57 (2012)
  14. 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)
  15. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
  16. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold", submitted in Balkan J. Geom
  17. D. H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold,", Math. Probl. Eng, 2011, pp.16~ (2011)
  18. T. H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds", Indian J. Pure Appl. Math, 34(9), pp.1369~1380 (2003)
  19. U. H. Ki, "Generic submanifolds with parallel Ricci curvature of S2m+1(1),", J. Korean Math. Soc, 19(1), pp.55~60 (1982)
  20. U. H. Ki, "Infinitesimal variations preserving the Ricci tensor of generic submanifolds of an odd-dimensional sphere", Kyungpook Math. J, 22(2), pp.317~324 (1982)
  21. D. N. Kupeli, "Kluwer Acad. Publishers" (1996), Kluwer Acad. Publishers
  22. J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32(3-4), pp.187~193 (1985)
  23. A. Upadhyay, "Semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces of an indefinite generalized Sasakian space form", International Electronic Journal of Geometry, 5(1), pp.140~150 (2012)

관련 논문AI추천

Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface진대호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2019 · 제34권 제2호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제3호Half lightlike submanifolds of an indefinite trans-Sasakian manifoldDae Ho Jin대한수학회 · 대한수학회보2014 · 제51권 제4호Lightlike submanifolds of an indefinite Sasakian manifold with a non-metric θ-connection진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호

이 간행물의 다른 논문 (21건)

Conditional transform with respect to the Gaussian process involving the conditional convolution product and the first variation장승준, 정현수, 이일용pp. 1561-1577A note on generalized Dirac eigenvalues for split holonomy and torsionIlka Agricola, 김화정pp. 1579-1589Maximum principle, convergence of sequences and angular limits for harmonic Bloch mappingsJinjing Qiao, Hongya Gaopp. 1591-1603Structure of some classes of semisimple group algebras over finite fieldsJ. B. Srivastava, Rajendra Kumar Sharma, Neha Makhijanipp. 1605-1614Generalized matrix functions, irreducibility and equalityMohammad Hossein Jafari, Ali Reza Madadipp. 1615-1623
원문 보기