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Article Dans Une Revue Tohoku mathematical journal Année : 2023

Convergence of the Yamabe flow on singular spaces with positive Yamabe constant

Résumé

In this work, we study the convergence of the normalized Yamabe flow with positive Yamabe constant on a class of pseudo-manifolds that includes stratified spaces with iterated cone-edge metrics. We establish convergence under a low energy condition. We also prove a concentration - compactness dichotomy, and investigate what the alternatives to convergence are. We end by investigating a non-convergent example due to Viaclovsky in more detail.

Dates et versions

hal-03332210 , version 1 (02-09-2021)

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Citer

Gilles Carron, Jørgen Olsen Lye, Boris Vertman. Convergence of the Yamabe flow on singular spaces with positive Yamabe constant. Tohoku mathematical journal, 2023, 75 (4), ⟨10.2748/tmj.20220616⟩. ⟨hal-03332210⟩
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