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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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.