Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2017 / Cilt: 7 - Sayı: 1

Sabit Hessian Kesit Eğrilikli Hessian Manifoldları için Bazı Eğrilik Karakterizasyonları

Some Curvature Characterizations for Hessian Manifolds with Constant Hessian Sectional Curvature

Pages
259–265
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Let N be a compact hypersurface in the Hessian manifold Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which are new for Hessian manifolds with constant Hessian sectional curvature

📌 3 Key Takeaways

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Objective & Hypothesis:Let N be a compact hypersurface in the Hessian manifold Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which are new for Hessian manifolds with constant Hessian sectional curvature
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Key Findings & Data:Let N be a compact hypersurface in the Hessian manifold Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which are new for Hessian manifolds with constant Hessian sectional curvature
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Conclusion & Impact:Let N be a compact hypersurface in the Hessian manifold Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which are new for Hessian manifolds with constant Hessian sectional curvature
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let N be a compact hypersurface in the Hessian manifold Hessian manifold concept then using second fundamental tensor, we obtain some curvature characterizations which are new for Hessian manifolds with constant Hessian sectional curvature

Özet

N ,hakkında bilgi vereceğiz sonra ikinci temel tensörü kullanarak sabit Hessian kesit eğrilikli Hessian manifoldları için bazı eğrilik karakterizasyonaları elde edeceğiz

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Cite This Article

YILMAZ, M. Y. (2022). Sabit Hessian Kesit Eğrilikli Hessian Manifoldları için Bazı Eğrilik Karakterizasyonları. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 7 - Sayı: 1, 259–265. https://ajindex.com/articles/538574

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References (6)

  1. Bektas M¸ Yıldırım M, 2006. Integral inequalities for submanifolds of Hessian manifolds with constant Hessian sectional curvature. Irania. Jour. of Scien. and Techno. Transact. A, 30(2):235-239.
  2. Camargoa FEC, Chavesa RVB, Sousa Jr LAM, 2008. Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in De Sitter space. Differential Geometry and its Applications. 26(6): 592-599. Caminha A, 2006. A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds. Diff. Geom. and its Applic. 24(6):652—659. Colares AG, De Lima HF, 2002. Some rigidity theorems in semiRiemannian warped products, Kodai Mathemat. J. 35(2): 268- 282. Ho PT, 2015. Differentiable rigidity of hypersurface in space forms. Manuscripta mathem. 146: 463-472.
  3. Kobayashi, S, Nomizu K, 1969.
  4. Foundations of differential geometry, Vols. I, II, Inter science, N. York. Li, H, 1997. Global rigidity theorems for hypersurfaces. Arkiv Math. 35: 327-351. Shima H, 1986. Vanishing theorems for compact Hessian manifolds. Annals Institute. Fourier Grenob. 36(3):183-205. Shima H, 1995. Hessian manifolds of constant Hessian sectional curvature. Journal of Mathematical Society of Japan. 47(4): 735-753. Shima H, 2007. The Geometry of Hessian structures. World Scien. Publ., First edition Singapore, Japan. 246p. Shima H, Yagi, K,. 1997.
  5. Geometry of Hessian manifolds, Differential Geometry and its Applications. 7(3): 277–290.
  6. Yilmaz MY, Bektas¸M, 2008. A survey on curvatures of Hessian manifolds. Chaos, Solit.& Fract. 38(3): 620-630.