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Showing 2021 · math.DGShow all
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math.DG2021
Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds
A. Aiolfi, L. Bonorino, J. Ripoll +2
In this work we establish new equivalences for the concept of -parabolic Riemannian manifolds. We define a concept of comparison principle for elliptic PDE's on exterior domains…
math.DG2021★ 2 cited
Gluing Karcher-Scherk saddle towers I: Triply periodic minimal surfaces
Hao Chen, Martin Traizet
We construct minimal surfaces by gluing simply periodic Karcher--Scherk saddle towers along their wings. Such constructions were previously implemented assuming a horizontal reflec…
math.DG2021★ 1 cited
Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large in…