Ricci curvature of submanifolds in Kenmotsu space forms
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012863 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |