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Yıl 2017, Cilt: 5 Sayı: 1, 27 - 33, 30.04.2017

Münevver Yıldırım Yılmaz , Mehmet Bektaş

https://doi.org/10.36753/mathenot.421479
Cited By: 2

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, Cilt: 5 Sayı: 1, 27 - 33, 30.04.2017

Münevver Yıldırım Yılmaz , Mehmet Bektaş

https://doi.org/10.36753/mathenot.421479
Cited By: 2

Öz

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

Anahtar Kelimeler

Hessian Manifold Riemannian Curvature Tensor sectional curvature spaceform

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 Cilt: 5 Sayı: 1

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.

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https://doi.org/10.33401/fujma.733415

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