Geometry of 1-codimensional measures in Heisenberg groups

• 成果类型: Article
• 署名作者: Merlo, Andrea
• 署名单位: Universite Paris Saclay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-021-01063-z
• 发表日期: 2022
• 页码: 27-148
• 关键词: rectifiable sets; perimeter

摘要

This paper is devoted to the study of tangential properties of measures with density in the Heisenberg groups H-n. Among other results we prove that measures with (2n + 1)-density have only flat tangents and conclude the classification of uniform measures in H-1.