BibTex RIS Kaynak Göster

η-Ricci solitons in trans-Sasakian manifolds

Yıl 2017, Cilt: 66 Sayı: 2, 218 - 224, 01.08.2017
https://doi.org/10.1501/Commua1_0000000813

Öz

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

Kaynakça

  • 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
Yıl 2017, Cilt: 66 Sayı: 2, 218 - 224, 01.08.2017
https://doi.org/10.1501/Commua1_0000000813

Öz

Kaynakça

  • 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
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

K. Venu Bu kişi benim

G. Nagaraja H. Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 2

Kaynak Göster

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. Ağustos 2017;66(2):218-224. doi:10.1501/Commua1_0000000813
Chicago Venu, K., ve G. Nagaraja H. “η-Ricci Solitons in Trans-Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 2 (Ağustos 2017): 218-24. https://doi.org/10.1501/Commua1_0000000813.
EndNote Venu K, Nagaraja H. G (01 Ağustos 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 ve G. Nagaraja H., “η-Ricci solitons in trans-Sasakian manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 2, ss. 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 (Ağustos 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. ve G. Nagaraja H. “η-Ricci Solitons in Trans-Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 2, 2017, ss. 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.

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