On Lp-Affine Surface Area and Curvature Measures

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14 Scopus citations


The relationship between Lp-affine surface area and curvature measures is investigated. As a result, a new representation of the existing notion of Lp-affine surface area depending only on curvature measures is derived. Direct proofs of the equivalence between this new representation and those previously known are provided. The proofs show that the new representation is, in a sense, "polar" to that of Lutwak's and "dual" to that of Schütt and Werner's.

Original languageEnglish (US)
Pages (from-to)1387-1423
Number of pages37
JournalInternational Mathematics Research Notices
Issue number5
StatePublished - Jun 19 2016
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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