BibTex RIS Cite

η-Ricci solitons in trans-Sasakian manifolds

Year 2017, Volume: 66 Issue: 2, 218 - 224, 01.08.2017
https://doi.org/10.1501/Commua1_0000000813

Abstract

The aim of this paper is to study the -Ricci solitons in 3-dimensionaltrans-Sasakian manifolds

References

  • Blaga, A. M., Ricci solitons on para-Kenmotsu manifolds, arXiv:1402, 0223v1, [math DG]
  • Cecil, T. E. and P. J. Ryan, Focal sets and real htpersurfaces in complex projective space, Trans. Amer. Math. Soc. 269(1982), 481-499.
  • Cho, J. T. and M. Kimura, Ricci solitons and Real hypersurfaces in a complex space form, Tohoku math.J., 61(2009), 205-212.
  • Gray, A. and L. M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. (4) 123 (1980), 35-58.
  • Hamilton, R. S., The Ricci *ow on surfaces, Mathematical and general relativity(Santa Cruz,CA,1986), American Math. Soc., Contemp. Math., 71(1988), 237-262.
  • Ki, U-H., Real hypersurfaces with parallel Ricci tensor of a complex space form, Tsukaba J. Math. 13(1989), 73-81.
  • Marrero, J. C., The local structure of trans-Sasakian manifolds, Ann. Mat. Pura Appl. (4) (1992), 77-86.
  • Mishra, R. S., Almost contact metric manifolds, Monograph, 1, Tensor Soc. India, Lucknow, Montiel, S., Real hypersurfaces of complex hyperbolic space, J.Math.Soc. Japan 35(1985), 535.
  • Nagaraja, H. G. and C. R. Premalatha, Ricci solitons in Kenmotsu manifolds, Journal of Mathematical analysis, 3(2)(2012), 18-24.
  • Oubiña, J. A., New classes of almost contact metric structures, Publ. Math. Debrecen 32 (1985), no.3-4, 187 - 193.
  • Prakasha, D. G. and B. S. Hadimani,-Ricci solitons on para-Sasakian manifolds, J. Geom., DOI 10.1007/s00022-016-0345-z.
  • Sharma, R., Certain results on K-contact and (k; ) -contact manifolds, J.Geom., 89(2008), 147.
  • Tripathi, M. M., Ricci solitons in contact metric manifolds, arXiv:0801, 4222v1, [math DG]
  • Current address : Venu K and H. G. Nagaraja: Department of Mathematics, Bangalore Uni- versity, Bengaluru-560056, INDIA
  • E-mail address : venuk.math@gmail.com E-mail address : hgnraj@yahoo.com
Year 2017, Volume: 66 Issue: 2, 218 - 224, 01.08.2017
https://doi.org/10.1501/Commua1_0000000813

Abstract

References

  • Blaga, A. M., Ricci solitons on para-Kenmotsu manifolds, arXiv:1402, 0223v1, [math DG]
  • Cecil, T. E. and P. J. Ryan, Focal sets and real htpersurfaces in complex projective space, Trans. Amer. Math. Soc. 269(1982), 481-499.
  • Cho, J. T. and M. Kimura, Ricci solitons and Real hypersurfaces in a complex space form, Tohoku math.J., 61(2009), 205-212.
  • Gray, A. and L. M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. (4) 123 (1980), 35-58.
  • Hamilton, R. S., The Ricci *ow on surfaces, Mathematical and general relativity(Santa Cruz,CA,1986), American Math. Soc., Contemp. Math., 71(1988), 237-262.
  • Ki, U-H., Real hypersurfaces with parallel Ricci tensor of a complex space form, Tsukaba J. Math. 13(1989), 73-81.
  • Marrero, J. C., The local structure of trans-Sasakian manifolds, Ann. Mat. Pura Appl. (4) (1992), 77-86.
  • Mishra, R. S., Almost contact metric manifolds, Monograph, 1, Tensor Soc. India, Lucknow, Montiel, S., Real hypersurfaces of complex hyperbolic space, J.Math.Soc. Japan 35(1985), 535.
  • Nagaraja, H. G. and C. R. Premalatha, Ricci solitons in Kenmotsu manifolds, Journal of Mathematical analysis, 3(2)(2012), 18-24.
  • Oubiña, J. A., New classes of almost contact metric structures, Publ. Math. Debrecen 32 (1985), no.3-4, 187 - 193.
  • Prakasha, D. G. and B. S. Hadimani,-Ricci solitons on para-Sasakian manifolds, J. Geom., DOI 10.1007/s00022-016-0345-z.
  • Sharma, R., Certain results on K-contact and (k; ) -contact manifolds, J.Geom., 89(2008), 147.
  • Tripathi, M. M., Ricci solitons in contact metric manifolds, arXiv:0801, 4222v1, [math DG]
  • Current address : Venu K and H. G. Nagaraja: Department of Mathematics, Bangalore Uni- versity, Bengaluru-560056, INDIA
  • E-mail address : venuk.math@gmail.com E-mail address : hgnraj@yahoo.com
There are 15 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

K. Venu This is me

G. Nagaraja H. This is me

Publication Date August 1, 2017
Published in Issue Year 2017 Volume: 66 Issue: 2

Cite

APA Venu, K., & Nagaraja H., G. (2017). η-Ricci solitons in trans-Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(2), 218-224. https://doi.org/10.1501/Commua1_0000000813
AMA Venu K, Nagaraja H. G. η-Ricci solitons in trans-Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2017;66(2):218-224. doi:10.1501/Commua1_0000000813
Chicago Venu, K., and G. Nagaraja H. “η-Ricci Solitons in Trans-Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, no. 2 (August 2017): 218-24. https://doi.org/10.1501/Commua1_0000000813.
EndNote Venu K, Nagaraja H. G (August 1, 2017) η-Ricci solitons in trans-Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 2 218–224.
IEEE K. Venu and G. Nagaraja H., “η-Ricci solitons in trans-Sasakian manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 2, pp. 218–224, 2017, doi: 10.1501/Commua1_0000000813.
ISNAD Venu, K. - Nagaraja H., G. “η-Ricci Solitons in Trans-Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/2 (August 2017), 218-224. https://doi.org/10.1501/Commua1_0000000813.
JAMA Venu K, Nagaraja H. G. η-Ricci solitons in trans-Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:218–224.
MLA Venu, K. and G. Nagaraja H. “η-Ricci Solitons in Trans-Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 2, 2017, pp. 218-24, doi:10.1501/Commua1_0000000813.
Vancouver Venu K, Nagaraja H. G. η-Ricci solitons in trans-Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(2):218-24.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.