Recent progress on minimal hypersurfaces with cylindrical tangent cones

Gábor Székelyhidi

doi:10.1007/s00010-023-00998-3

Recent progress on minimal hypersurfaces with cylindrical tangent cones

Gábor Székelyhidi^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We survey some recent results on minimal hypersurfaces in Rⁿ⁺¹ with cylindrical tangent cones. We discuss the question of the uniqueness of tangent cones, the behavior of certain minimal hypersurfaces with cylindrical tangent cones, and a Liouville type theorem for entire minimal hypersurfaces.

Original language	English (US)
Pages (from-to)	1083-1106
Number of pages	24
Journal	Aequationes Mathematicae
Volume	97
Issue number	5-6
DOIs	https://doi.org/10.1007/s00010-023-00998-3
State	Published - Dec 2023

Funding

Supported in part by NSF Grant DMS-2203218.

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1007/s00010-023-00998-3

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abstract = "We survey some recent results on minimal hypersurfaces in Rn+1 with cylindrical tangent cones. We discuss the question of the uniqueness of tangent cones, the behavior of certain minimal hypersurfaces with cylindrical tangent cones, and a Liouville type theorem for entire minimal hypersurfaces.",

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Recent progress on minimal hypersurfaces with cylindrical tangent cones

Abstract

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ASJC Scopus subject areas

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