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|Title:||The mean curvature and volume growth of complete noncompact submanifolds|
|Keywords:||Bounded mean curvature|
|Citation:||Cheung, L.-F.,Leung, P.-F. (1998-06). The mean curvature and volume growth of complete noncompact submanifolds. Differential Geometry and its Application 8 (3) : 251-256. ScholarBank@NUS Repository.|
|Abstract:||We show that a complete noncompact submanifold with bounded mean curvature in the Euclidean or hyperbolic space has at least linear volume growth. We apply this to obtain some results on submanifolds of parallel mean curvature.|
|Source Title:||Differential Geometry and its Application|
|Appears in Collections:||Staff Publications|
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