대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권4호
  • /
  • Pages.1173-1192
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  • 2013
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

  • Kumar, Sangeet (School of Applied Sciences Chitkara University) ;
  • Kumar, Rakesh (University College of Engineering Punjabi University) ;
  • Nagaich, R.K. (Department of Mathematics Punjabi University)
  • 투고 : 2012.07.19
  • 발행 : 2013.07.31
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초록

We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature $c$ and of constant type ${\alpha}$. We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds.

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참고문헌

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  20. R. Kumar, S. Kumar, and R. K. Nagaich, Integrability of distributions in GCR-lightlike submanifolds of indefinite Kaehler manifolds, Commun. Korean Math. Soc. 27 (2012), no. 3, 591-602. https://doi.org/10.4134/CKMS.2012.27.3.591
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피인용 문헌

  1. GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD vol.51, pp.3, 2014, https://doi.org/10.4134/BKMS.2014.51.3.883
  2. Radical screen transversal lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection vol.15, pp.02, 2018, https://doi.org/10.1142/S021988781850024X
  3. Geometry of warped product lightlike submanifolds of indefinite nearly Kaehler manifolds vol.109, pp.1, 2018, https://doi.org/10.1007/s00022-018-0425-3
  4. -lightlike submanifolds of indefinite nearly Kaehler manifolds pp.1793-6977, 2019, https://doi.org/10.1142/S0219887819500373