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We discuss certain geometric properties for area stationary currents and currents with integrable mean curvature, so called “enclosure theorems”. As a consequence, we obtain non-existence results for currents with connected… Click to show full abstract
We discuss certain geometric properties for area stationary currents and currents with integrable mean curvature, so called “enclosure theorems”. As a consequence, we obtain non-existence results for currents with connected support. Finally, we extend these results to currents in submanifolds and state a non-existence result for stationary currents in spheres.
Keywords:
mean curvature;
stationary currents;
currents currents;
area stationary;
non existence
Journal Title: Archiv der Mathematik
Year Published: 2020
Link to full text (if available)
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Journal Title: Archiv der Mathematik
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!