Geodesic
An improved Chen–Ricci inequality for special slant submanifolds in Kenmotsu space forms
Simona Costache1 ; Iuliana Zamfir1
1 Department of Mathematics University of Bucharest Str. Academiei 14 010014 Bucureşti, Romania
Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 81-89

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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.
DOI : 10.4064/ap110-1-7
Keywords: chen arch math basel proved geometrical inequality lagrangian submanifolds complex space forms terms ricci curvature squared mean curvature recently chen ricci inequality improved int electron geom other arslan int math math sci established chen ricci inequality submanifolds particular contact slant submanifolds kenmotsu space forms article improve latter inequality special slant submanifolds kenmotsu space forms investigate equality

Simona Costache 1 ; Iuliana Zamfir 1

1 Department of Mathematics University of Bucharest Str. Academiei 14 010014 Bucureşti, Romania 
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Simona Costache; Iuliana Zamfir. An improved Chen–Ricci inequality
 for special slant submanifolds in Kenmotsu space forms. Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 81-89. doi: 10.4064/ap110-1-7

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