| Submanifolds with Parallel Mean Curvature in Spaces of Constant Curvature |
| Received:March 10, 1993 |
| Key Words:
totally umbilical second fundamental form mean curvature.
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| Abstract: |
| We discuss the pinching problem for a submanifold with parallel mean curvature vector in spaces of constant curvature to be totally umbilical by using the relationship between the square of the length of the second fUndamental form and the mean curvature, we obtain the best pinching intervals and give a complete classification of submanifolds at the terminal of the intervals. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1996.01.014 |
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