Research Article

On Ricci solitons in N(k) - quasi Einstein manifolds

Volume: 5 Number: 3 July 1, 2017
  • H. G. Nagaraja *
  • Venu K.
EN

On Ricci solitons in N(k) - quasi Einstein manifolds

Abstract

He object of the present paper is to study N(k)-quasi Einstein manifolds satisfying certain curvature conditions. Further we study gradient Ricci solitons on N(k)-quasi Einstein manifolds.

Keywords

References

  1. A. L. Besse. Einstein manifolds, volume 10 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]. Springer-Verlag, Berlin, 1987.
  2. M. C. Chaki. On generalized quasi Einstein manifolds. Publ. Math. Debrecen, 58(4):683-691, 2001.
  3. M. C. Chaki and R. K. Maity. On quasi Einstein manifolds. Publ. Math. Debrecen, 57(3-4):297-306, 2000.
  4. M. Crasmareanu. Parallel tensors and ricci solitons in n(k)- quasi einstein manifold. Indian Journal of Pure and applies Mathematics, 2012.
  5. Sengupta J. De, U. C. and D. Saha. Conformally at quasi einstein spaces. Kyungpook math J., 46(3), 2006.
  6. U. C. De and G. C. Ghosh. On quasi Einstein manifolds. Period. Math. Hungar., 48(1-2):223-231, 2004.
  7. U. C. De and G. C. Ghosh. On conformally at special quasi Einstein manifolds. Publ. Math. Debrecen, 66(1-2):129-136, 2005.
  8. U. C. De and G. C. Ghosh. On quasi Einstein and special quasi Einstein manifolds. In Proceedings of the International Conference on Mathematics and its Applications (ICMA 2004), pages 178-191. Kuwait Univ. Dep. Math. Comput. Sci., Kuwait, 2005.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

H. G. Nagaraja * This is me
India

Venu K. This is me
India

Publication Date

July 1, 2017

Submission Date

November 19, 2016

Acceptance Date

August 4, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

APA
Nagaraja, H. G., & K., V. (2017). On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences, 5(3), 46-52. https://izlik.org/JA35BL66TX
AMA
1.Nagaraja HG, K. V. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences. 2017;5(3):46-52. https://izlik.org/JA35BL66TX
Chicago
Nagaraja, H. G., and Venu K. 2017. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences 5 (3): 46-52. https://izlik.org/JA35BL66TX.
EndNote
Nagaraja HG, K. V (July 1, 2017) On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences 5 3 46–52.
IEEE
[1]H. G. Nagaraja and V. K., “On Ricci solitons in N(k) - quasi Einstein manifolds”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 46–52, July 2017, [Online]. Available: https://izlik.org/JA35BL66TX
ISNAD
Nagaraja, H. G. - K., Venu. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 46-52. https://izlik.org/JA35BL66TX.
JAMA
1.Nagaraja HG, K. V. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences. 2017;5:46–52.
MLA
Nagaraja, H. G., and Venu K. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences, vol. 5, no. 3, July 2017, pp. 46-52, https://izlik.org/JA35BL66TX.
Vancouver
1.H. G. Nagaraja, Venu K. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):46-52. Available from: https://izlik.org/JA35BL66TX