Compactness and generic finiteness for free boundary minimal hypersurfaces. I

DOI10.2140/pjm.2021.310.85zbMath1465.53073arXiv1803.01509OpenAlexW2790179754MaRDI QIDQ2658483

Qiang Guang, Xin Zhou, Zhichao Wang

Publication date: 23 March 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01509

zbMATH Keywords

Jacobi fieldscompactnesscurvature estimatesfree-boundary minimal surfaces

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

Existence of minimal hypersurfaces with non-empty free Boundary for generic metrics ⋮ Min-max theory for free boundary minimal hypersurfaces. II: General Morse index bounds and applications ⋮ Inequivalent complexity criteria for free boundary minimal surfaces ⋮ Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments ⋮ Multiplicity one for min-max theory in compact manifolds with boundary and its applications ⋮ Existence of infinitely many free boundary minimal hypersurfaces ⋮ The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space

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