Enclosure theorems for generalized mean curvature flows

Sven Winklmann
April 2003
Calculus of Variations & Partial Differential Equations;Apr2003, Vol. 16 Issue 4, p439
Academic Journal
Abstract. We define a generalized notion of mean curvature for regular hypersurfaces in ${\mathbb /FORMULA>. This enables us to introduce a new class of geometric curvature flows for which we prove enclosure theorems, using methods of Dierkes [D] and Hildebrandt [H]. In particular, we obtain "neck-pinching" results that generalize previous observations by Ecker [E] concerning the classical mean curvature flow.


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