Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds

Adara M. Blaga; Selcen Yüksel Perktaş

doi:10.31801/cfsuasmas.546595

Araştırma Makalesi

Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds

Yıl 2019, Cilt: 68 Sayı: 2, 1621 - 1628, 01.08.2019

Adara M. Blaga Selcen Yüksel Perktaş

https://doi.org/10.31801/cfsuasmas.546595

Cited By: 12

Öz

We consider almost η-Ricci solitons in (ε)-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation for the norm of the Ricci curvature tensor and express the scalar curvature of the manifold in terms of the two functions that define the soliton. We also prove that if the Ricci operator is of Codazzi type, then the gradient η-Ricci soliton is expanding if M is spacelike or shrinking if M is timelike.

Anahtar Kelimeler

Almost η-Ricci solitons, (ε)-para Sasakian structure

Kaynakça

Acet, B. E., A note on Ricci solitons on para-Sasakian manifolds, J. Sci. Tech., 11, (2018), no. 2, 237--242.
Blaga, A. M., Almost η-Ricci solitons in (LCS)_{n}-manifolds, to appear in Bull. Belg. Math. Soc. Simon Stevin, 25, (2018), no 5, 641--653
Blaga, A. M., η-Ricci solitons on Lorentzian para-Sasakian manifolds, Filomat, 30, (2016), no. 2, 489--496.
Blaga, A. M., Perktaş, S. Y., Acet, B. E., Erdoğan, F. E., η-Ricci solitons in (ε)-almost paracontact metric manifolds, Glasnik Matematicki, 53, (2018), no. 1, 377--410.
Cho, J. T., Kimura, M., Ricci solitons and real hypersurfaces in a complex space form, Tôhoku Math. J., 61, (2009), no. 2, 205--212.
Crasmareanu, M., A new approach to gradient Ricci solitons and generalizations, to appear in Filomat.
Hamilton, R. S., Three-manifolds with positive Ricci curvature, J. Diff. Geom., 17, (1982), 255--306.
Pigola, S., Rigoli, M., Rimoldi, M., Setti, A., Ricci almost solitons, Ann. Sc. Norm. Super. Pisa Cl. Sci., (5) 10, (2011), 757--799.
Satō, I., On a structure similar to the almost contact structure, Tensor (N.S.), 30, (1976), no. 3, 219--224.
Tripathi, M. M., Kılıç, E., Perktaş, S. Y., Keleş, S., Indefinite almost paracontact metric manifolds, Int. J. Math. Math. Sci., (2010), 846195, pp. 19.

Yıl 2019, Cilt: 68 Sayı: 2, 1621 - 1628, 01.08.2019

Adara M. Blaga Selcen Yüksel Perktaş

https://doi.org/10.31801/cfsuasmas.546595

Cited By: 12

Öz

Kaynakça

Acet, B. E., A note on Ricci solitons on para-Sasakian manifolds, J. Sci. Tech., 11, (2018), no. 2, 237--242.
Blaga, A. M., Almost η-Ricci solitons in (LCS)_{n}-manifolds, to appear in Bull. Belg. Math. Soc. Simon Stevin, 25, (2018), no 5, 641--653
Blaga, A. M., η-Ricci solitons on Lorentzian para-Sasakian manifolds, Filomat, 30, (2016), no. 2, 489--496.
Blaga, A. M., Perktaş, S. Y., Acet, B. E., Erdoğan, F. E., η-Ricci solitons in (ε)-almost paracontact metric manifolds, Glasnik Matematicki, 53, (2018), no. 1, 377--410.
Cho, J. T., Kimura, M., Ricci solitons and real hypersurfaces in a complex space form, Tôhoku Math. J., 61, (2009), no. 2, 205--212.
Crasmareanu, M., A new approach to gradient Ricci solitons and generalizations, to appear in Filomat.
Hamilton, R. S., Three-manifolds with positive Ricci curvature, J. Diff. Geom., 17, (1982), 255--306.
Pigola, S., Rigoli, M., Rimoldi, M., Setti, A., Ricci almost solitons, Ann. Sc. Norm. Super. Pisa Cl. Sci., (5) 10, (2011), 757--799.
Satō, I., On a structure similar to the almost contact structure, Tensor (N.S.), 30, (1976), no. 3, 219--224.
Tripathi, M. M., Kılıç, E., Perktaş, S. Y., Keleş, S., Indefinite almost paracontact metric manifolds, Int. J. Math. Math. Sci., (2010), 846195, pp. 19.

Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	Adara M. Blaga 0000-0003-0237-3866 Selcen Yüksel Perktaş 0000-0002-8848-0621
Yayımlanma Tarihi	1 Ağustos 2019
Gönderilme Tarihi	27 Mart 2018
Kabul Tarihi	5 Şubat 2019
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

APA	Blaga, A. M., & Perktaş, S. Y. (2019). Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1621-1628. https://doi.org/10.31801/cfsuasmas.546595
AMA	Blaga AM, Perktaş SY. Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):1621-1628. doi:10.31801/cfsuasmas.546595
Chicago	Blaga, Adara M., ve Selcen Yüksel Perktaş. “Remarks on Almost η-Ricci Solitons in (ε)-Para Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 1621-28. https://doi.org/10.31801/cfsuasmas.546595.
EndNote	Blaga AM, Perktaş SY (01 Ağustos 2019) Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1621–1628.
IEEE	A. M. Blaga ve S. Y. Perktaş, “Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 1621–1628, 2019, doi: 10.31801/cfsuasmas.546595.
ISNAD	Blaga, Adara M. - Perktaş, Selcen Yüksel. “Remarks on Almost η-Ricci Solitons in (ε)-Para Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (Ağustos 2019), 1621-1628. https://doi.org/10.31801/cfsuasmas.546595.
JAMA	Blaga AM, Perktaş SY. Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1621–1628.
MLA	Blaga, Adara M. ve Selcen Yüksel Perktaş. “Remarks on Almost η-Ricci Solitons in (ε)-Para Sasakian Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 1621-8, doi:10.31801/cfsuasmas.546595.
Vancouver	Blaga AM, Perktaş SY. Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1621-8.