Compactness of minimal hypersurfaces with bounded index

DOI10.4310/jdg/1497405628zbMath1390.53065arXiv1501.02703OpenAlexW2963306591WikidataQ59888882 ScholiaQ59888882MaRDI QIDQ1700290

Ben Sharp

Publication date: 5 March 2018

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02703

zbMATH Keywords

Ricci curvatureMorse indexminimal hypersurfacesclosed Riemannian manifoldJacobi (second variation) operator

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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