TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Research Article

Yamabe Solitons On (LCS)undefined -Manifolds

* , ,

* Corresponding author · click or hover a name for details

pp. 261–279Vol. 18Issue 2July 2020DOI: 10.1080/1726037X.2020.1868100XML
Received:
05 Jul 2020
Accepted:
02 Nov 2020
Published Online:
07 Jan 2021
Article type:
Research Article
Language:
EN
Article no.:
1726037X.2020.1868100
Pages:
261–279

Abstract

The object of the present paper is to study some properties of (LCS)undefined-manifolds whose metric is Yamabe soliton. We establish some characterization of (LCS)undefined-manifolds when the soliton becomes steady. Next we have studied some certain curvature conditions of (LCS)undefined-manifolds admitting Yamabe solitons. Lastly we construct a 3-dimensional (LCS)undefined-manifold satisfying the results.

Keywords

Subject Classifications

53C1553C2553C44

References

  1. M.Atceken, S. K.Hui, , Math. J ., Vol. 63 , Number 1 , 177 - 190 ( 2013 ).
  2. E.Barbosa, , E.Ribeiro, , Arch. Math ., Vol. 101 , 7989 ( 2013 ).
  3. S.Chandra, S. K.Hui, A. A.Shaikh, , Korean Math. Soc ., Vol- 30 , 123 - 130 ( 2015 ).
  4. R.Hamilton, , Contemp. Math ., Vol. 71 , 237261 ( 1988 ).
  5. S. K.Hui, M.Atceken, , Acta Univ. Saoientiae Math ., Vol. 3 , Number 2 , 212 - 224 ( 2011 ).
  6. Y.Ishii, , Tensor N.S , Vol. 7 , 73 - 80 ( 1957 ).
  7. K.Matsumoto, , Bull. Yamagata Univ. Nature. Sci ., Vol. 12 , 151 - 156 ( 1989 ).
  8. I.Mihai, R.Rosca, , Classical Anal , 155 - 169 ( 1992 ).
  9. D.Narain, S.Yadav, , CUBO A Mathematical Journal , Vol. 15 , Number 2 , 33 - 42 ( 2013 ).
  10. C.Ozgur, , Radovi Mathematicki , Vol. 12 , 99 - 106 ( 2003 ).
  11. G. P.Pokhariyal, R. S.Mishra, , Yokohoma Math. J ., Vol- 18 , 105108 ( 1970 ).
  12. A. A.Shaikh, , Kyungpook Math. J ., Vol. 43 , 305 - 314 ( 2003 ).
  13. A. A.Shaikh, K. K.Baishya, , J. Math. Stat ., Vol- 1 , Number 2 , 129 - 132 ( 2005 ).
  14. A. A.Shaikh, K. K.Baishya, , Amer. J. Appl. Sci ., Vol- 3 , Number 4 , 1790 - 1794 ( 2006 ).
  15. A. A.Shaikh, T.Basu, S.Eyasmin, , Int. J. Pure Appl. Math ., Vol. 41 , Number 8 , 1161 - 1170 ( 2007 ).
  16. A.Shaikh, T.Basu, S.Eyasmin, , Extr. Math . , Vol. 23 , Number 1 , 71 - 83 ( 2008 ).
  17. R.Sharma, , Int. J. Geom. Methods Mod. Phys ., Vol. 9 , Number 4 , 1220003 ( 5 pages) ( 2012 ).
  18. A.Singh, S.Kishor, , Facta Universitatis (NIS ), Vol. 33 , Number 2 , 217230 ( 2018 ).
  19. S.Yadav, D. L.Suthar, P. K.Dwivedi, , Engineering and Technology , Vol. 6 , 73 - 84 ( 2013 ).
  20. S.Yadav, P. K.Dwivedi, , Mathematics Decision Science , Vol. 14 ( 2012 ).
  21. S.Yadav, P. K.Dwivedi, D. L.Suthar, , Thai Journal of Mathematics , Vol. 9 , 597 - 603 ( 2011 ).
  22. S.Yadav, D. L.Suthar, MebrahtuHailu, , Bol. Soc. Paran. Mat . ( 3s. ), Vol. 37 , Number 2 , 9 - 21 ( 2019 ).
  23. K.Yano, M.Kon, Series in Pure Mathematics , Vol. 3 ( 1984 ).
Views: 100Downloads: 104Citations: 20