Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, , 27 - 33, 30.04.2017
https://doi.org/10.36753/mathenot.421479

Öz

Kaynakça

  • [1] Shima, H. The Geometry of Hessian structures, World Scientific Publ., 2007.
  • [2] Shima, H., Homogeneous Hessian manifolds. Ann. Inst. Fourier, Grenoble,. 30, 3, (1980), 91-128.
  • [3] Shima, H., A differential geometric characterization of homogeneous sel-dual cones. Tsukuba J. Math Vol. 6, no.1, (1982), 79-88.
  • [4] Bektas, M., Yildirim, M., Integral inequalities for submanifolds of Hessian manifolds with constant Hessian sectional curvature. Iranian Journal of Sci. and Tech.Trans. A. Sci. vol.30, no.A2 (2006), 235-239.
  • [5] Yildirim Yilmaz,M., Bektas, M., A Survey on curvatures of Hessian manifolds. Chaos, Solitons and Fractals 38, (2008), 620-630.
  • [6] Hineva, S., Submanifolds for which a lower bound of the Ricci curvature is achieved. J.Geom. 88, (2008), 53-69.
  • [7] Cao,X.-F., Pseudo-umbilical submanifolds of constant curvature Riemannian manifolds, Glasgow Mathematical Journal vol.43,no. 1 (2001), 129-133.
  • [8] Yildirim Yilmaz, M. , Bektas, M. A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature International Scholarly Research Network ISRN Geometry Vol.2011, (2011), 1-12.

Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds

Yıl 2017, , 27 - 33, 30.04.2017
https://doi.org/10.36753/mathenot.421479

Öz

In this paper after a short description of Hessian manifolds, we establish new curvature inequalities
between a Hessian manifold and its submanifolds.

Kaynakça

  • [1] Shima, H. The Geometry of Hessian structures, World Scientific Publ., 2007.
  • [2] Shima, H., Homogeneous Hessian manifolds. Ann. Inst. Fourier, Grenoble,. 30, 3, (1980), 91-128.
  • [3] Shima, H., A differential geometric characterization of homogeneous sel-dual cones. Tsukuba J. Math Vol. 6, no.1, (1982), 79-88.
  • [4] Bektas, M., Yildirim, M., Integral inequalities for submanifolds of Hessian manifolds with constant Hessian sectional curvature. Iranian Journal of Sci. and Tech.Trans. A. Sci. vol.30, no.A2 (2006), 235-239.
  • [5] Yildirim Yilmaz,M., Bektas, M., A Survey on curvatures of Hessian manifolds. Chaos, Solitons and Fractals 38, (2008), 620-630.
  • [6] Hineva, S., Submanifolds for which a lower bound of the Ricci curvature is achieved. J.Geom. 88, (2008), 53-69.
  • [7] Cao,X.-F., Pseudo-umbilical submanifolds of constant curvature Riemannian manifolds, Glasgow Mathematical Journal vol.43,no. 1 (2001), 129-133.
  • [8] Yildirim Yilmaz, M. , Bektas, M. A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature International Scholarly Research Network ISRN Geometry Vol.2011, (2011), 1-12.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Münevver Yıldırım Yılmaz

Mehmet Bektaş

Yayımlanma Tarihi 30 Nisan 2017
Gönderilme Tarihi 14 Temmuz 2016
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

APA Yılmaz, M. Y., & Bektaş, M. (2017). Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Mathematical Sciences and Applications E-Notes, 5(1), 27-33. https://doi.org/10.36753/mathenot.421479
AMA Yılmaz MY, Bektaş M. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. Nisan 2017;5(1):27-33. doi:10.36753/mathenot.421479
Chicago Yılmaz, Münevver Yıldırım, ve Mehmet Bektaş. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes 5, sy. 1 (Nisan 2017): 27-33. https://doi.org/10.36753/mathenot.421479.
EndNote Yılmaz MY, Bektaş M (01 Nisan 2017) Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Mathematical Sciences and Applications E-Notes 5 1 27–33.
IEEE M. Y. Yılmaz ve M. Bektaş, “Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds”, Math. Sci. Appl. E-Notes, c. 5, sy. 1, ss. 27–33, 2017, doi: 10.36753/mathenot.421479.
ISNAD Yılmaz, Münevver Yıldırım - Bektaş, Mehmet. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes 5/1 (Nisan 2017), 27-33. https://doi.org/10.36753/mathenot.421479.
JAMA Yılmaz MY, Bektaş M. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. 2017;5:27–33.
MLA Yılmaz, Münevver Yıldırım ve Mehmet Bektaş. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 1, 2017, ss. 27-33, doi:10.36753/mathenot.421479.
Vancouver Yılmaz MY, Bektaş M. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. 2017;5(1):27-33.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.