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Showing 2009 · math.DGShow all
3 papers · 2 filters
math.DG2009★ 15 cited
Geometric Structures on Spaces of Weighted Submanifolds
Brian Lee
In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on "convenient" vector spaces to study the geometry of some infinite dimensional space…
math.DG2009★ 6 cited
Systolic inequalities and minimal hypersurfaces
Larry Guth
We give a short proof of the systolic inequality for the n-dimensional torus. The proof uses minimal hypersurfaces. It is based on the Schoen-Yau proof that an n-dimensional torus…
math.DG2009
Real loci of based loop groups
Lisa C. Jeffrey, Augustin-Liviu Mare
Let be a Riemannian symmetric pair of maximal rank, where is a compact simply connected Lie group and the fixed point set of an involutive automorphism . This in…