Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 4 Sayı: 4, 264 - 270, 01.12.2021

Mehmet Solgun

https://doi.org/10.33401/fujma.975200
Cited By: 1

Öz

Kaynakça

  • [1] S. Kaneyuki, F.L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  • [2] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom., 36 (2009), 37-60.
  • [3] G. Calvaruso, Homogeneous paracontact metric three-manifolds, Illinois J. Math., 55 (2011), 697-718.
  • [4] G. Calvaruso, A. Perrone, Five-dimensional paracontact Lie algebras, Differ. Geom. Appl., 45 (2016), 115-129.
  • [5] N. Özdemir, Ş. Aktay, M. Solgun, Almost paracontact structures obtained from G2(2) structures, Turk. J. Math., 42 (2018), 3025-3033.
  • [6] Ş Aktay, On the relation between G_2 structures and almost paracontact structures, J. Geom. Symmetry Phys., 56 (2020), 31-43.
  • [7] N. Özdemir, M. Solgun, Ş. Aktay, Almost para-contact metric structures on 5-dimensional nilpotent Lie algebras, Fundamental J. Math. App., 3 (2020), 175-184.
  • [8] I. K¨upeli Erken, On normal almost paracontact metric manifolds of dimension 3, Facta Univ. Ser. Math. Inform., 5, (2015), 777-788.
  • [9] S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geo.,109 (2018), 18.
  • [10] D.E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkh¨auser, Switzerland, 2002, ISBN 978-0817642617.
  • [11] S. Tanno, The topology of contact Riemannian manifolds, Ilinois J. Math., 12 (1968), 700-717.
  • [12] S. Tanno, Harmonic forms and Betti numbers of certain contact manifolds, J. Math. Soc. Japan, 19 (1967), 308-316.

Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds

Yıl 2021, Cilt: 4 Sayı: 4, 264 - 270, 01.12.2021

Mehmet Solgun

https://doi.org/10.33401/fujma.975200
Cited By: 1

Öz

In this paper, we investigate the effect of $\mathcal{D}$-homothetic deformation on almost para-contact metric manifolds. The main results of the paper are about some classes of almost paracontact metric manifolds in which the characteristic vector field is parallel. It is shown that certain classes are invariant under the $\mathcal{D}$-homothetic deformation.



Anahtar Kelimeler

Almost paracontact structure $\mathcal{D}$-homothetic deformation Semi-Riemannian manifold

Kaynakça

  • [1] S. Kaneyuki, F.L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  • [2] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom., 36 (2009), 37-60.
  • [3] G. Calvaruso, Homogeneous paracontact metric three-manifolds, Illinois J. Math., 55 (2011), 697-718.
  • [4] G. Calvaruso, A. Perrone, Five-dimensional paracontact Lie algebras, Differ. Geom. Appl., 45 (2016), 115-129.
  • [5] N. Özdemir, Ş. Aktay, M. Solgun, Almost paracontact structures obtained from G2(2) structures, Turk. J. Math., 42 (2018), 3025-3033.
  • [6] Ş Aktay, On the relation between G_2 structures and almost paracontact structures, J. Geom. Symmetry Phys., 56 (2020), 31-43.
  • [7] N. Özdemir, M. Solgun, Ş. Aktay, Almost para-contact metric structures on 5-dimensional nilpotent Lie algebras, Fundamental J. Math. App., 3 (2020), 175-184.
  • [8] I. K¨upeli Erken, On normal almost paracontact metric manifolds of dimension 3, Facta Univ. Ser. Math. Inform., 5, (2015), 777-788.
  • [9] S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geo.,109 (2018), 18.
  • [10] D.E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkh¨auser, Switzerland, 2002, ISBN 978-0817642617.
  • [11] S. Tanno, The topology of contact Riemannian manifolds, Ilinois J. Math., 12 (1968), 700-717.
  • [12] S. Tanno, Harmonic forms and Betti numbers of certain contact manifolds, J. Math. Soc. Japan, 19 (1967), 308-316.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Mehmet Solgun 0000-0002-2275-7763

Yayımlanma Tarihi 1 Aralık 2021
Gönderilme Tarihi 27 Temmuz 2021
Kabul Tarihi 10 Kasım 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 4

Kaynak Göster

APA Solgun, M. (2021). Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds. Fundamental Journal of Mathematics and Applications, 4(4), 264-270. https://doi.org/10.33401/fujma.975200
AMA Solgun M. Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds. FUJMA. Aralık 2021;4(4):264-270. doi:10.33401/fujma.975200
Chicago Solgun, Mehmet. “Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds”. Fundamental Journal of Mathematics and Applications 4, sy. 4 (Aralık 2021): 264-70. https://doi.org/10.33401/fujma.975200.
EndNote Solgun M (01 Aralık 2021) Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds. Fundamental Journal of Mathematics and Applications 4 4 264–270.
IEEE M. Solgun, “Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds”, FUJMA, c. 4, sy. 4, ss. 264–270, 2021, doi: 10.33401/fujma.975200.
ISNAD Solgun, Mehmet. “Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds”. Fundamental Journal of Mathematics and Applications 4/4 (Aralık 2021), 264-270. https://doi.org/10.33401/fujma.975200.
JAMA Solgun M. Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds. FUJMA. 2021;4:264–270.
MLA Solgun, Mehmet. “Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 4, 2021, ss. 264-70, doi:10.33401/fujma.975200.
Vancouver Solgun M. Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds. FUJMA. 2021;4(4):264-70.

Cited By

D-Homothetic Deformations and Almost Paracontact Metric Manifolds
Fundamentals of Contemporary Mathematical Sciences
https://doi.org/10.54974/fcmathsci.1240849

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