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

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Costache S., Zamfir I.

Annales Polonici Mathematici

2014

tom 110

nr 1

81-89

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Costache S.

1 Zamfir I.

1 2014

Wyniki wyszukiwania

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