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Totally umbilical hemislant submanifolds of LP-Sasakian manifold

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Abstract

This paper is summarized as follows. In the first section we have given a brief history about slant and hemi-slant submanifold of LP-Sasakian manifold. This section is followed by some preliminaries about LP-Sasakian manifold. Finally, we have derived some interesting results on the existence of extrinsic sphere for totally umbilical hemi-slant submanifold of LP-Sasakian manifold.

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References

  1. B. Y. Chen, Bull. Austral. Math. Soc. 41(1), 135 (1990).

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Y. Chen, Geometry of Slant Submnaifolds (Katholieke Universiteit Leuven, Leuven, 1990).

    Google Scholar 

  3. U. C. De and A. A. Shaikh, Complex Manifolds and Contact Manifolds (Alpha Science, 2009).

    MATH  Google Scholar 

  4. A. Lotta, Bull. Math. Soc. Roumanie 39, 183 (1996).

    MATH  Google Scholar 

  5. N. Papaghiuc, An. Stiint. Univ. Al. I. Cuza Iasi, Ser. Noua, Mat. 40(1), 55 (1994).

    MATH  MathSciNet  Google Scholar 

  6. J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, and M. Fernandez, Geom. Dedicata 78, 183 (1999).

    Article  MATH  MathSciNet  Google Scholar 

  7. J. L. Cabrerizo, A. Carriazo, L.M. Fernandez, and M. Fernandez, Glasg. Math. J. 42 (2000).

  8. A. Carriazo, in Proceedings of the Integrated Car Rental and Accounts Management System (Kharagpur, West Bengal, 2000), pp. 88–97.

    Google Scholar 

  9. S. Deshmukh and S. I. Hussain, Kodai Math. J. 9(3), 425 (1986).

    Article  MATH  MathSciNet  Google Scholar 

  10. S. K. Hui, S. Uddin, C. Ozel, and A. A. Mustafa, Discrete Dyn. Nature Soc., Article ID 868549 (2012).

    Google Scholar 

  11. M. A. Khan, K. Singh, and V.A. Khan, Differ. Geom. Dyn. Systems 12, 102 (2010).

    MathSciNet  Google Scholar 

  12. Khushwant Singh, Siraj Uddin, Cenap Ozel, and M. A. Khan, Int. J. Phys. Sci. 7(10), 1526 (2012).

    Google Scholar 

  13. K. Matsumoto, Bull. Yamagata Univ. Nat. Sci. 12, 151.

  14. B. O’Neill, Semi Riemannian Geometry with Applications to Relativity (Academic, London, 1983).

    MATH  Google Scholar 

  15. B. Sahin, ResultsMath. 54(1–2), 167 (2009).

    MATH  MathSciNet  Google Scholar 

  16. S. Uddin, M. A. Khan, and K. Singh, Math. Probl. Engineering, Article ID 516238 (2011).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, India

    Barnali Laha & Arindam Bhattacharyya

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  1. Barnali Laha
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  2. Arindam Bhattacharyya
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Correspondence to Barnali Laha.

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Submitted by V. V. Lychagin

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Laha, B., Bhattacharyya, A. Totally umbilical hemislant submanifolds of LP-Sasakian manifold. Lobachevskii J Math 36, 127–131 (2015). https://doi.org/10.1134/S1995080215020122

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  • DOI: https://doi.org/10.1134/S1995080215020122

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