Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 12 Sayı: 2, 210 - 217, 03.10.2019
https://doi.org/10.36890/iejg.628085

Öz

Kaynakça

  • [1] Bejan, C. L. and Crasmareanu, M., Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry. Ann. Global Anal. Geom. 46(2) (2014), 117–127.
  • [2] Blair, D. E., The theory of quasi-Sasakian structures. J. Differential Geom. 1 (1967), 331–345.
  • [3] Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics Vol. 203, Birkhäuser. Boston 2002.
  • [4] Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry. Diff. Geom. Appl. 30 (2012), 665–693.
  • [5] Dacko, P., On almost para-cosymplectic manifolds. Tsukuba J. Math. 28 (2004), 193–213.
  • [6] Erdem, S., On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (φ,φ')-holomorphic maps between them. Houston J. Math. 28 (2002), 21–45.
  • [7] Kanemaki, S., Quasi-Sasakian manifolds. Tohoku Math. J. 29 (1977), 227–233.
  • [8] Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds. Nagoya Math. J. 99 (1985), 173–187.
  • [9] Küpeli Erken, I., Some classes of 3-dimensional normal almost paracontact metric manifolds. Honam Math. J. 37(4) (2015), 457-468.
  • [10] Küpeli Erken, I., On normal almost paracontact metric manifolds of dimension 3. Facta Univ. Ser. Math. Inform. 30(5) (2015), 777-788.
  • [11] Olszak, Z., Curvature properties of quasi-Sasakian manifolds. Tensor. 38 (1982), 19–28.
  • [12] Olszak, Z., Normal almost contact metric manifolds of dimension three. Ann. Polon. Math. XLVII (1986), 41–50.
  • [13] Tanno, S., The topology of contact Riemannian manifolds. Illinois J. Math. 12 (1968), 700-717.
  • [14] Tanno, S., Quasi-Sasakian structures of rank 2p + 1. J. Differential Geom. 5 (1971), 317–324.
  • [15] Wełyczko, J., On basic curvature identities for almost (para)contact metric manifolds. Available in Arxiv: 1209.4731 [math. DG].
  • [16] Welyczko, J., On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds. Result. Math. 54 (2009), 377–387.
  • [17] Zamkovoy, S., Canonical connections on paracontact manifolds. Ann. Glob. Anal. Geom. 36 (2009), 37–60.

Curvature Properties of Quasi-Para-Sasakian Manifolds

Yıl 2019, Cilt: 12 Sayı: 2, 210 - 217, 03.10.2019
https://doi.org/10.36890/iejg.628085

Öz


Kaynakça

  • [1] Bejan, C. L. and Crasmareanu, M., Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry. Ann. Global Anal. Geom. 46(2) (2014), 117–127.
  • [2] Blair, D. E., The theory of quasi-Sasakian structures. J. Differential Geom. 1 (1967), 331–345.
  • [3] Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics Vol. 203, Birkhäuser. Boston 2002.
  • [4] Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry. Diff. Geom. Appl. 30 (2012), 665–693.
  • [5] Dacko, P., On almost para-cosymplectic manifolds. Tsukuba J. Math. 28 (2004), 193–213.
  • [6] Erdem, S., On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (φ,φ')-holomorphic maps between them. Houston J. Math. 28 (2002), 21–45.
  • [7] Kanemaki, S., Quasi-Sasakian manifolds. Tohoku Math. J. 29 (1977), 227–233.
  • [8] Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds. Nagoya Math. J. 99 (1985), 173–187.
  • [9] Küpeli Erken, I., Some classes of 3-dimensional normal almost paracontact metric manifolds. Honam Math. J. 37(4) (2015), 457-468.
  • [10] Küpeli Erken, I., On normal almost paracontact metric manifolds of dimension 3. Facta Univ. Ser. Math. Inform. 30(5) (2015), 777-788.
  • [11] Olszak, Z., Curvature properties of quasi-Sasakian manifolds. Tensor. 38 (1982), 19–28.
  • [12] Olszak, Z., Normal almost contact metric manifolds of dimension three. Ann. Polon. Math. XLVII (1986), 41–50.
  • [13] Tanno, S., The topology of contact Riemannian manifolds. Illinois J. Math. 12 (1968), 700-717.
  • [14] Tanno, S., Quasi-Sasakian structures of rank 2p + 1. J. Differential Geom. 5 (1971), 317–324.
  • [15] Wełyczko, J., On basic curvature identities for almost (para)contact metric manifolds. Available in Arxiv: 1209.4731 [math. DG].
  • [16] Welyczko, J., On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds. Result. Math. 54 (2009), 377–387.
  • [17] Zamkovoy, S., Canonical connections on paracontact manifolds. Ann. Glob. Anal. Geom. 36 (2009), 37–60.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

İ. Küpeli Erken

Yayımlanma Tarihi 3 Ekim 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 12 Sayı: 2

Kaynak Göster

APA Erken, İ. K. (2019). Curvature Properties of Quasi-Para-Sasakian Manifolds. International Electronic Journal of Geometry, 12(2), 210-217. https://doi.org/10.36890/iejg.628085
AMA Erken İK. Curvature Properties of Quasi-Para-Sasakian Manifolds. Int. Electron. J. Geom. Ekim 2019;12(2):210-217. doi:10.36890/iejg.628085
Chicago Erken, İ. Küpeli. “Curvature Properties of Quasi-Para-Sasakian Manifolds”. International Electronic Journal of Geometry 12, sy. 2 (Ekim 2019): 210-17. https://doi.org/10.36890/iejg.628085.
EndNote Erken İK (01 Ekim 2019) Curvature Properties of Quasi-Para-Sasakian Manifolds. International Electronic Journal of Geometry 12 2 210–217.
IEEE İ. K. Erken, “Curvature Properties of Quasi-Para-Sasakian Manifolds”, Int. Electron. J. Geom., c. 12, sy. 2, ss. 210–217, 2019, doi: 10.36890/iejg.628085.
ISNAD Erken, İ. Küpeli. “Curvature Properties of Quasi-Para-Sasakian Manifolds”. International Electronic Journal of Geometry 12/2 (Ekim 2019), 210-217. https://doi.org/10.36890/iejg.628085.
JAMA Erken İK. Curvature Properties of Quasi-Para-Sasakian Manifolds. Int. Electron. J. Geom. 2019;12:210–217.
MLA Erken, İ. Küpeli. “Curvature Properties of Quasi-Para-Sasakian Manifolds”. International Electronic Journal of Geometry, c. 12, sy. 2, 2019, ss. 210-7, doi:10.36890/iejg.628085.
Vancouver Erken İK. Curvature Properties of Quasi-Para-Sasakian Manifolds. Int. Electron. J. Geom. 2019;12(2):210-7.