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math.DSMay 9, 2011
38
citations (OpenAlex)
authors
  • Jan-Christoph Schlage-Puchta
institutions
  • University of Freiburg
arXiv abstractPDF
paper

On triangular billiards

arXiv:1105.1629 · doi:10.1007/PL00013215

Abstract

We prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled triangles with the lattice property.

Cited by in corpus (9)

  • On groups generated by two positive multi-twists: Teichmueller curves and Lehmer's number
  • Full rank affine invariant submanifolds
  • Teichmueller curves, triangle groups, and Lyapunov exponents
  • Characterizations of lattice surfaces
  • Veech surfaces associated with rational billiards
  • Billiard Dynamics: An Updated Survey with the Emphasis on Open Problems
  • Algebraically periodic translation surfaces
  • Billiards in right triangles and orbit closures in genus zero strata
  • A combination theorem for Veech subgroups of the mapping class group
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