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Abstract

In this paper we analyse briefly some properties of hemi-slant sub-manifold of (LCS)n-manifold. Here we discuss about some necessary and sufficient conditions for distributions to be integrable and obtain some results in this direction. We also study the geometry of leaves of hemi-slant submanifold of (LCS)n-manifold. At last we give an example of a hemi-slant submanifold of an (LCS)n-manifold.

Keywords

(LCS)n-manifold hemi-slant submanifold integrablity leaves of distribution.

Article Details

Author Biographies

Payel Karmakar, Jadavpur University

Research Scholar, Department of Mathematics

Arindam Bhattacharyya, Jadavpur University

Professor, Department of Mathematics
How to Cite
Karmakar, P., & Bhattacharyya, A. (2022). Hemi-Slant Submanifold of (LCS)n-Manifold. Journal of the Indonesian Mathematical Society, 28(1), 75–83. https://doi.org/10.22342/jims.28.1.991.75-83

References

  1. Abutuqayqah, H.I., Geometry of hemi-slant submanifolds of almost contact manifolds, King Abdulaziz University, 2012.
  2. Al-Solamy, F.R., Khan, M.A., and Uddin, S., Totally umbilical hemi-slant submanifolds of Kahler manifold, Abstr. Appl. Anal., (2011).
  3. Carriazo, A., New developments in slant submanifold theory, Narosa Publishing House, New Delhi, 2002.
  4. Khan, M.A., Totally umbilical hemi-slant submanifolds of cosymplectic manifolds, Math. Aeterna, 3:8 (2013), 645-653.
  5. Khan, M.A., Singh, K., and Khan, V.A., Slant-submanifold of LP-contact manifolds, Differ. Geom. Dyn. Syst., 12 (2010), 102-108.
  6. Khan, M.A., Uddin, S., and Singh, K., A classification on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Differ. Geom. Dyn. Syst., 13 (2011), 117-127.
  7. Laha, B. and Bhattacharyya, A., Totally umbilical hemi-slant submanifolds of LP-Sasakian manifold, Lobachevskii J. Math., 36:2 (2015), 127-131.
  8. Lone, M.A., Lone, M.S., and Shahid, M.H., Hemi-slant submanifolds of cosymplectic manifolds, Cogent Math. Stat., 3:1 (2016), 1204143.
  9. Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roum. (N.S), 39 (1996), 183-198.
  10. Patra, C., Laha, B., and Bhattacharyya, A., On hemi-slant submanifold of Kenmotsu manifold, Int. J. Math. Comb., 1 (2019), 62-72.
  11. Siddesha, M.S., Bagewadi, C.S., and Venkatesha, S., On the geometry of hemi-slant submanifolds of LP-cosymplectic manifold, Asian J. Math. Appl., (2018).
  12. Tastan, H.M., and Ozdemir, F., The geometry of hemi-slant submanifolds of a locally product Riemannian manifold, Turk. J. Math., 39:2 (2015), 268-284.
  13. Tastan, H.M., and Gerdan, S., Hemi-slant submanifolds of a locally conformal Kahler manifold, Int. Electron. J. Geom., 8:2 (2015), 46-56