The dual Minkowski problem for symmetric convex bodies

Károly J. Böröczky, Erwin Lutwak, Deane Yang, Gaoyong Zhang, Yiming Zhao

Research output: Contribution to journalArticle

Abstract

The dual Minkowski problem for even data asks what are the necessary and sufficient conditions on an even prescribed measure on the unit sphere for it to be the $q$-th dual curvature measure of an origin-symmetric convex body in $\mathbb{R}^n$. A full solution to this is given when $1
Original languageEnglish (US)
JournalarXiv
StatePublished - Mar 18 2017

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Convex Body
Curvature Measure
Unit Sphere
Necessary Conditions
Sufficient Conditions

Keywords

  • math.MG
  • math.AP
  • math.DG
  • 52A40

Cite this

The dual Minkowski problem for symmetric convex bodies. / Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming.

In: arXiv, 18.03.2017.

Research output: Contribution to journalArticle

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