한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권2호
  • /
  • Pages.173-183
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  • 2011
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

  • Jin, Dae-Ho (Department of Mathematics, Dongguk University)
  • 투고 : 2011.03.15
  • 심사 : 2011.05.16
  • 발행 : 2011.05.31
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초록

We study half lightlike submanifolds of an indefinite Sasakian manifold. The aim of this paper is to prove the following result: If a locally symmetric half lightlike submanifold of an indefinite Sasakian manifold is totally umbilical, then it is of constant positive curvature 1. In addition to this result, we prove three characterization theorems for such a half lightlike submanifold.

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참고문헌

  1. Calin, C.: Contributions to geometry of CR-submanifold. Thesis, University of Iasi (Romania, 1998).
  2. Duggal, K.L. & Bejancu, A.: Lightlike submanifolds of semi-Riemannian manifolds and applications. Kluwer Acad. Publishers, Dordrecht, 1996.
  3. Duggal, K.L. & Jin, D.H.: Half-Lightlike submanifolds of codimension 2. Math. J. Toyama Univ. 22 (1999), 121-161.
  4. Duggal, K.L. & Jin, D.H.: Null curves and hypersurfaces of semi-Riemannian Manifolds. World Scientific, 2007.
  5. Jin, D.H.: Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold. Indian J. pure appl. Math. 41, no. 4, (2010), 569-581. https://doi.org/10.1007/s13226-010-0032-y
  6. Jin, D.H.: Transversal half lightlike submanifolds of an indefinite Sasakian manifold. J. Korea Soc Math. Educ. Ser. B: Pure Appl. Math. 18, no. 1, (2011), 51-61.
  7. Kupeli, D.N.: Singular semi-Riemannian geometry. Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.

피인용 문헌

  1. SPECIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD vol.29, pp.1, 2014, https://doi.org/10.4134/CKMS.2014.29.1.109
  2. INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN HALF LIGHTLIKE SUBMANIFOLD vol.29, pp.3, 2014, https://doi.org/10.4134/CKMS.2014.29.3.451
  3. HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD vol.51, pp.4, 2014, https://doi.org/10.4134/BKMS.2014.51.4.979
  4. NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS vol.30, pp.1, 2015, https://doi.org/10.4134/CKMS.2015.30.1.035
  5. NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE COSYMPLECTIC MANIFOLD vol.20, pp.2, 2013, https://doi.org/10.7468/jksmeb.2013.20.2.89
  6. TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD vol.21, pp.1, 2014, https://doi.org/10.7468/jksmeb.2014.21.1.1