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Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds

✍ Scribed by Guanghan Li; Daping Tian; Chuanxi Wu


Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
342 KB
Volume
14
Category
Article
ISSN
1385-0172

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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.