Ulam floating bodies

Han Huang, Boaz A. Slomka, Elisabeth M. Werner

Research output: Contribution to journalArticlepeer-review


We study a new construction of bodies from a given convex body in Rn which are isomorphic to (weighted) floating bodies. We establish several properties of this new construction, including its relation to (Formula presented.) -affine surface areas. We show that these bodies are related to Ulam' s long-standing floating body problem which asks whether Euclidean balls are the only bodies that can float, without turning, in any orientation.

Original languageEnglish
Pages (from-to)425-446
Number of pages22
JournalJournal of the London Mathematical Society
Issue number2
StatePublished - 1 Oct 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 London Mathematical Society


  • 52A20
  • 52A27
  • 52A38 (primary)


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