Establishes a general min-max theorem producing minimal surfaces with prescribed genus in 3-manifolds with positive Ricci curvature.
Free boundary minimal surfaces with connected boundary and arbi- trary genus
2 Pith papers cite this work. Polarity classification is still indexing.
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Heat semigroup characterizes total variation for compactly supported BV on arbitrary smooth complete weighted Riemannian manifolds, with a counterexample on some weighted manifold.
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Min-max theory and minimal surfaces with prescribed genus
Establishes a general min-max theorem producing minimal surfaces with prescribed genus in 3-manifolds with positive Ricci curvature.
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Sets of finite perimeter on Riemannian manifolds and stochastic completeness
Heat semigroup characterizes total variation for compactly supported BV on arbitrary smooth complete weighted Riemannian manifolds, with a counterexample on some weighted manifold.