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Dergiler / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Chen Inequalities for Submanifolds of Real Space Forms with a Ricci Quarter-Symmetric Metric Connection

Nergiz POYRAZ
Halil İbrahim YOLDAŞ
Sayfa
102–110
Yayın Tarihi
2022-10-18
DOI
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In this paper, we establish some inequalities for submanifolds of real space forms endowed

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we establish some inequalities for submanifolds of real space forms endowed
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Temel Bulgular & Veri:In this paper, we establish some inequalities for submanifolds of real space forms endowed
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Sonuç & Katkı:In this paper, we establish some inequalities for submanifolds of real space forms endowed
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Chen inequality · Ricci quarter-symmetric metric connection · Ricci curvature

Abstract

In this paper, we establish some inequalities for submanifolds of real space forms endowed

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Bu Makaleye Atıf Yap

POYRAZ, N., YOLDAŞ, H. İ. (2022). Chen Inequalities for Submanifolds of Real Space Forms with a Ricci Quarter-Symmetric Metric Connection. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 102–110. https://ajindex.com/articles/539637

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Kaynakça (13)

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  2. Chen, B. Y., Relation between Ricci curvature and shape operator for submanifolds with arbitrary codimension. Glasgow Mathematic Journal 41 (1999), 33-41
  3. Chen, B. Y., Some pinching and classification theorems for minimal submanifolds. Arch. math (Basel) 60 (1993), no. 6, 568-578
  4. Chen, B. Y., A Riemannian invariant for submanifolds in space forms and its applications. Geometry and Topology of submanifolds VI. (Leuven, 1993/Brussels, 193). (NJ:Word Scientific Publishing, River Edge). 1994, pp. 58-81, no. 6, 568-578
  5. Chen, B. Y., A general optimal inequlaity for arbitrary Riemannian submanifolds. J. Ineq. Pure Appl. Math 6 (2005), no. 3, Article 77, 1-11
  6. Gülbahar, M., Kılıç, E., Keleş, S. and Tripathi, M. M., Some basic inequalities for submanifolds of nearly quasi-constant curvature manifolds. Differential Geometry-Dynamical Systems. 16 (2014), 156-167
  7. Hong, S. and Tripathi, M. M., On Ricci curvature of submanifolds. Int J. Pure Appl. Math. Sci. 2 (2005), no.2, 227-245
  8. Kamilya, D and De, U. C., Some properties of a Ricci quarter-symmetric metric connection in a Riemanian manifold. Indian J. Pure and Appl. Math 26 (1995), no. 1, 29-34
  9. Liu, X. and Zhou, J., On Ricci curvature of certain submanifolds in cosympletic space form. Sarajeva J. Math 2 (2006), no.1, 95-106
  10. Mihai, A. and Özgür, C., Chen inequalities for submanifolds of real space form with a semi-symmetric metric connection. Taiwanese Journal of Mathematics 14 (2010), no. 4, 1465-1477
  11. Mishra, R. S. and Pandey, S. N., On quarter symmetric metric F-connections. Tensor (N.S.) 34 (1980), no. 1, 1-7
  12. Rastogi, S. C., On quarter-symmetric metric connection. C. R. Acad. Bulgare Sci 31 (1978), no. 7, 811-814
  13. Tripathi, M. M., Improved Chen-Ricci inequality for curvature-like tensor and its applications. Differential Geom. Appl. 29 (2011), 685-698.