### Abstract

Original language | English (US) |
---|---|

Journal | arXiv |

State | Published - Mar 18 2017 |

### Fingerprint

### Keywords

- math.MG
- math.AP
- math.DG
- 52A40

### Cite this

*arXiv*.

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

Research output: Contribution to journal › Article

*arXiv*.

}

TY - JOUR

T1 - The dual Minkowski problem for symmetric convex bodies

AU - Böröczky, Károly J.

AU - Lutwak, Erwin

AU - Yang, Deane

AU - Zhang, Gaoyong

AU - Zhao, Yiming

N1 - 28 pages

PY - 2017/3/18

Y1 - 2017/3/18

N2 - 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

AB - 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

KW - math.MG

KW - math.AP

KW - math.DG

KW - 52A40

M3 - Article

JO - arXiv

JF - arXiv

ER -