On $L_p$ Affine Surface Area and Curvature Measures

Preprint English OPEN
Zhao, Yiming;
(2015)
  • Related identifiers: doi: 10.1093/imrn/rnv178
  • Subject: 52A40 | Mathematics - Metric Geometry
    arxiv: Mathematics::Metric Geometry

The relationship between $L_p$ affine surface area and curvature measures is investigated. As a result, a new representation of the existing notion of $L_p$ affine surface area depending only on curvature measures is derived. Direct proofs of the equivalence between thi... View more
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