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D-Homothetic Deformations and Almost Paracontact Metric Manifolds

Yıl 2024, Cilt: 5 Sayı: 1, 1 - 14, 31.01.2024

Şirin Aktay

https://doi.org/10.54974/fcmathsci.1240849

Öz

In this study, we determine some of the classes of almost paracontact metric structures which are invariant under D-homothetic deformations. We write the Riemannian curvature tensor, the Ricci tensor and the scalar curvature when the characteristic vector field is Killing. In addition, we give examples.

Anahtar Kelimeler

Almost paracontact metric structure D-homothetic deformation Killing vector field

Destekleyen Kurum

Eskişehir Technical University

Proje Numarası

22 ADP 011

Kaynakça

  • [1] Blair D.E., D-homothetic warping, Publications de l’Institut Mathematique, 94(108), 47-54, 2013.
  • [2] Bulut Ş., D-homothetic deformation on almost contact B-metric manifolds, Journal of Geometry, 110(2), 1-12, 2019.
  • [3] De U.C., Ghosh S., D-homothetic deformation of normal almost contact metric manifolds, Ukrains’kyi Matematychnyi Zhurnal, 64(10), 1330-1329, 2012.
  • [4] Dixmier J., Sur les repr ´esentations unitaires des groupes de Lie nilpotentes III, Canadian Journal of Mathematics, 10, 321-348, 1958.
  • [5] Kaneyuki S., Williams F.L., Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal, 99, 173-187, 1985.
  • [6] Kocabaş Ü., Aktay Ş., Examples of almost para-contact metric structures on 5-dimensions, Fundamental Journal of Mathematics and Applications, 5(2), 89-97, 2022.
  • [7] Nakova G., Zamkovoy S., Almost paracontact manifolds, arXiv:0806.3859v2 [math.DG], 2009.
  • [8] Özdemir N., Solgun M., Aktay Ş., Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundamental Journal of Mathematics and Applications, 3(2), 175-184, 2020.
  • [9] Özdemir N., Aktay Ş., Solgun M., Almost paracontact structures obtained from G∗2(2) structures, Turkish Journal of Mathematics, 42, 3025-3022, 2018.
  • [10] Solgun, M., Some results on D-homothetic deformation on almost paracontact metric manifolds, Fundamental Journal of Mathematics and Applications, 4(4), 264-270, 2021.
  • [11] Zamkovoy S., Canonical connections on paracontact manifolds, Annals of Global Analysis and Geometry, 36(37), 2009.
  • [12] Zamkovoy S., On para-Kenmotsu manifolds, Filomat, 32(14), 4971-4980, 2018.
  • [13] Zamkovoy S., Nakova G., The decomposition of almost paracontact metric manifolds in eleven classes revisited, Journal of Geometry, 109(1), 1-23, 2018.

Yıl 2024, Cilt: 5 Sayı: 1, 1 - 14, 31.01.2024

Şirin Aktay

https://doi.org/10.54974/fcmathsci.1240849

Öz

Proje Numarası

22 ADP 011

Kaynakça

  • [1] Blair D.E., D-homothetic warping, Publications de l’Institut Mathematique, 94(108), 47-54, 2013.
  • [2] Bulut Ş., D-homothetic deformation on almost contact B-metric manifolds, Journal of Geometry, 110(2), 1-12, 2019.
  • [3] De U.C., Ghosh S., D-homothetic deformation of normal almost contact metric manifolds, Ukrains’kyi Matematychnyi Zhurnal, 64(10), 1330-1329, 2012.
  • [4] Dixmier J., Sur les repr ´esentations unitaires des groupes de Lie nilpotentes III, Canadian Journal of Mathematics, 10, 321-348, 1958.
  • [5] Kaneyuki S., Williams F.L., Almost paracontact and parahodge structures on manifolds, Nagoya Mathematical Journal, 99, 173-187, 1985.
  • [6] Kocabaş Ü., Aktay Ş., Examples of almost para-contact metric structures on 5-dimensions, Fundamental Journal of Mathematics and Applications, 5(2), 89-97, 2022.
  • [7] Nakova G., Zamkovoy S., Almost paracontact manifolds, arXiv:0806.3859v2 [math.DG], 2009.
  • [8] Özdemir N., Solgun M., Aktay Ş., Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundamental Journal of Mathematics and Applications, 3(2), 175-184, 2020.
  • [9] Özdemir N., Aktay Ş., Solgun M., Almost paracontact structures obtained from G∗2(2) structures, Turkish Journal of Mathematics, 42, 3025-3022, 2018.
  • [10] Solgun, M., Some results on D-homothetic deformation on almost paracontact metric manifolds, Fundamental Journal of Mathematics and Applications, 4(4), 264-270, 2021.
  • [11] Zamkovoy S., Canonical connections on paracontact manifolds, Annals of Global Analysis and Geometry, 36(37), 2009.
  • [12] Zamkovoy S., On para-Kenmotsu manifolds, Filomat, 32(14), 4971-4980, 2018.
  • [13] Zamkovoy S., Nakova G., The decomposition of almost paracontact metric manifolds in eleven classes revisited, Journal of Geometry, 109(1), 1-23, 2018.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Articles
Yazarlar

Şirin Aktay 0000-0003-2792-3481

Proje Numarası 22 ADP 011
Yayımlanma Tarihi 31 Ocak 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 5 Sayı: 1

Kaynak Göster

 Kapak Resmi İndir

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.