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math.DG2022
Asymptotic behavior of the heat semigroup on certain Riemannian manifolds
Alexander Grigor'yan, Effie Papageorgiou, Hong-Wei Zhang
We show that, on a complete, connected and non-compact Riemannian manifold of non-negative Ricci curvature, the solution to the heat equation with initial data behaves asym…
math.DG2021
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…