Research Article

Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field

Volume: 4 Number: 3 September 30, 2016
  • Shyamal Kumar Hui
  • Debabrata Chakraborty
EN

Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field

Abstract

The present paper deals with the study of generalized Sasakian-space-forms whose metric is Ricci almost soliton with a conformal killing vector field. We obtain sufficient conditions of such type of Ricci almost solitons to be expanding, steady and shrinking respectively.


Keywords

References

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  3. Alegre, P. and Carriazo, A., Structures on generalized Sasakian-space-forms, Diff. Geo. and its Application, 26 (2008), 656–666.
  4. Alegre, P. and Carriazo, A., Generalized Sasakian-space-forms and conformal changes of the metric, Results in Math., 59 (2011), 485–493.
  5. Ashoka, S. R., Bagewadi, C. S. and Ingalahalli, G., Certain results on Ricci Solitons in α-Sasakian manifolds, Hindawi Publ. Corporation, Geometry, Vol.(2013), Article ID 573925, 4 Pages.
  6. Ashoka, S. R., Bagewadi, C. S. and Ingalahalli, G., A geometry on Ricci solitons in (LCS)_n-manifolds, Diff. Geom.-Dynamical Systems, 16 (2014), 50–62.
  7. Bagewadi, C. S. and Ingalahalli,G., Ricci solitons in Lorentzian-Sasakian manifolds, Acta Math. Acad. Paeda. Nyire., 28 (2012), 59-68.
  8. Bejan, C. L. and Crasmareanu, M., Ricci Solitons in manifolds with quasi-contact curvature, Publ. Math. Debrecen, 78/1 (2011), 235-243.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Shyamal Kumar Hui This is me
India

Debabrata Chakraborty This is me
India

Publication Date

September 30, 2016

Submission Date

January 26, 2016

Acceptance Date

July 11, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Kumar Hui, S., & Chakraborty, D. (2016). Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field. New Trends in Mathematical Sciences, 4(3), 263-269. https://izlik.org/JA77WP62BX
AMA
1.Kumar Hui S, Chakraborty D. Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field. New Trends in Mathematical Sciences. 2016;4(3):263-269. https://izlik.org/JA77WP62BX
Chicago
Kumar Hui, Shyamal, and Debabrata Chakraborty. 2016. “Generalized Sasakian-Space-Forms and Ricci Almost Solitons With a Conformal Killing Vector Field”. New Trends in Mathematical Sciences 4 (3): 263-69. https://izlik.org/JA77WP62BX.
EndNote
Kumar Hui S, Chakraborty D (September 1, 2016) Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field. New Trends in Mathematical Sciences 4 3 263–269.
IEEE
[1]S. Kumar Hui and D. Chakraborty, “Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 263–269, Sept. 2016, [Online]. Available: https://izlik.org/JA77WP62BX
ISNAD
Kumar Hui, Shyamal - Chakraborty, Debabrata. “Generalized Sasakian-Space-Forms and Ricci Almost Solitons With a Conformal Killing Vector Field”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 263-269. https://izlik.org/JA77WP62BX.
JAMA
1.Kumar Hui S, Chakraborty D. Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field. New Trends in Mathematical Sciences. 2016;4:263–269.
MLA
Kumar Hui, Shyamal, and Debabrata Chakraborty. “Generalized Sasakian-Space-Forms and Ricci Almost Solitons With a Conformal Killing Vector Field”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 263-9, https://izlik.org/JA77WP62BX.
Vancouver
1.Shyamal Kumar Hui, Debabrata Chakraborty. Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):263-9. Available from: https://izlik.org/JA77WP62BX