An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms

• Autorzy: Simona Costache , Iuliana Zamfir
• Języki publikacji: EN

Abstrakty

EN

B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45].
On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds, in Kenmotsu space forms.
In this article, we improve the latter inequality for special slant submanifolds in Kenmotsu space forms. We also investigate the equality case.

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 1
• Strony: 81-89

Daty

wydano

2014

Twórcy

autor

Simona Costache

• Department of Mathematics, University of Bucharest, Str. Academiei 14, 010014 Bucureşti, Romania

autor

Iuliana Zamfir

• Department of Mathematics, University of Bucharest, Str. Academiei 14, 010014 Bucureşti, Romania

Identyfikatory

DOI

10.4064/ap110-1-7