Research Article

Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold

Volume: 7 Number: 1 April 15, 2019
EN

Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold

Abstract

In the present paper, we construct contact CR-warped product submanifolds of nearly quasi Sasakian manifold. We have obtained results on the existence of warped product CR Submanifolds of nearly quasi Sasakian manifold and discuss the characterization result. We also construct the inequality  for contact CR warped products of nearly quasi Sasakian manifolds. The equality cases are also discussed.



Keywords

References

  1. [1] A. Bejancu, CR-submanifolds of a Kahler manifold. I. Proc. Amer. Math. Soc. 1978, 69 (1), 135–142. doi:10.1090/S0002-9939-1978-0467630-0.
  2. [2] A. Bejancu and N. Papaghiuc, Semi-invariant submanifolds of a Sasakian manifold. An St Univ Al I Cuza Iasi supl 1981; XVII 1 I-a : 163-170.
  3. [3] B. H. Kim, Fibred Riemannian spaces with quasi-Sasakian structure, Hiroshima Math. J. 20, 477–513, 1990.
  4. [4] B. Sahin, Nonexistence of warped products semi-slant submanifolds of Kaehler manifolds, Geometriae Dedicata. 117 (2006) 195-202.
  5. [5] B. Y. Chen, Geometry of warped product CR-submanifolds in Kaehler manifolds I, K. Monatsh. Math. 133(2001), 177-195.
  6. [6] B. Y. Chen, Geometry of warped product CR-Submanifolds in Kaehler Manifolds II, Monatsh. Math. 134 (2001) 103-119.
  7. [7] B. Y. Chen and M. I. Munteanu, Geometry of PR-warped products in para-Kaehler manifolds, Taiwan. J. Math., 16 (2012), 1293-1327.
  8. [8] D. E. Blair, The theory of quasi-Sasakian structure, J. Differential Geo. 1, 331-345, 1967.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mohd Sadiq Khan This is me
India

Aboo Horaira This is me
India

Publication Date

April 15, 2019

Submission Date

June 13, 2018

Acceptance Date

February 15, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Rahman, S., Khan, M. S., & Horaira, A. (2019). Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold. Konuralp Journal of Mathematics, 7(1), 140-145. https://izlik.org/JA66BM86PC
AMA
1.Rahman S, Khan MS, Horaira A. Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold. Konuralp J. Math. 2019;7(1):140-145. https://izlik.org/JA66BM86PC
Chicago
Rahman, Shamsur, Mohd Sadiq Khan, and Aboo Horaira. 2019. “Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold”. Konuralp Journal of Mathematics 7 (1): 140-45. https://izlik.org/JA66BM86PC.
EndNote
Rahman S, Khan MS, Horaira A (April 1, 2019) Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold. Konuralp Journal of Mathematics 7 1 140–145.
IEEE
[1]S. Rahman, M. S. Khan, and A. Horaira, “Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold”, Konuralp J. Math., vol. 7, no. 1, pp. 140–145, Apr. 2019, [Online]. Available: https://izlik.org/JA66BM86PC
ISNAD
Rahman, Shamsur - Khan, Mohd Sadiq - Horaira, Aboo. “Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 140-145. https://izlik.org/JA66BM86PC.
JAMA
1.Rahman S, Khan MS, Horaira A. Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold. Konuralp J. Math. 2019;7:140–145.
MLA
Rahman, Shamsur, et al. “Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 140-5, https://izlik.org/JA66BM86PC.
Vancouver
1.Shamsur Rahman, Mohd Sadiq Khan, Aboo Horaira. Contact Cr-Warped Product Submanifolds of Nearly Quasi-Sasakian Manifold. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):140-5. Available from: https://izlik.org/JA66BM86PC
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