International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 12, Pages 719-726
doi:10.1155/S0161171202012863
Ricci curvature of submanifolds in Kenmotsu space forms
Kadri Arslan1
, Ridvan Ezentas1
, Ion Mihai3
, Cengizhan Murathan1
and Cihan Özgür1
1Department of Mathematics, Faculty of Arts and Sciences, Uludag University, Görükle 16059, Bursa, Turkey
3Faculty of Mathematics, University of Bucharest, Str. Academiei 14, Bucharest 70109, Romania
Abstract
In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. Similar problems for submanifolds in complex space forms were studied by Matsumoto et al. In this paper, we obtain sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in Kenmotsu space forms.