Geometric properties of the space of Lagrangian self-shrinking tori in ℝ⁴
We prove that any sequence {Fn : ∑ → ℝ⁴} of conformally branched compact Lagrangian self-shrinkers to the mean curvature flow with uniform area upper bound has a convergent subsequence, if the conformal structures do not degenerate. When ∑ has genus one, we can drop the assumption on non-degeneracy...
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| Language: | English |
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University of British Columbia
2017
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| Online Access: | http://hdl.handle.net/2429/61756 |