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Dergiler / Mathematical Sciences and Applications E-Notes / 2017 / Cilt: 5 - Sayı: 1

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

Münevver Yıldırım YILMAZ
Mehmet BEKTAŞ
Sayfa
27–33
Yayın Tarihi
2017-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper after a short description of Hessian manifolds, we establish new curvature inequalities between a Hessian manifold and its submanifolds.
📊
Temel Bulgular & Veri:In this paper after a short description of Hessian manifolds, we establish new curvature inequalities between a Hessian manifold and its submanifolds.
💡
Sonuç & Katkı:In this paper after a short description of Hessian manifolds, we establish new curvature inequalities between a Hessian manifold and its submanifolds.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hessian Manifold · Riemannian Curvature Tensor · sectional curvature

Abstract

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

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Bu Makaleye Atıf Yap

YILMAZ, M. Y., BEKTAŞ, M. (2017). Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Mathematical Sciences and Applications E-Notes, Cilt: 5 - Sayı: 1, 27–33. https://ajindex.com/articles/690724

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Kaynakça (8)

  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.