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Double bubbles with high constant mean curvatures in Riemannian manifolds

Di Matteo, Gianmichele 1; Malchiodi, Andrea
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)

Abstract:

We obtain existence of double bubbles of large and constant mean curvatures in Riemannian manifolds. These arise as perturbations of geodesic standard double bubbles centered at critical points of the ambient scalar curvature and aligned along eigen-vectors of the ambient Ricci tensor. We also obtain general multiplicity results via Lusternik-Schnirelman theory, and extra ones in case of double bubbles whose opposite boundaries have the same mean curvature.


Volltext §
DOI: 10.5445/IR/1000149945
Veröffentlicht am 15.08.2022
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Forschungsbericht/Preprint
Publikationsdatum 15.12.2021
Sprache Englisch
Identifikator KITopen-ID: 1000149945
Nachgewiesen in Dimensions
arXiv
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