Cusps of caustics by reflection in ellipses

DOI10.1112/JLMS.70033MaRDI QIDQ6658763

Mark Spivakovsky, Gil Bor, Serge Tabachnikov

Publication date: 8 January 2025

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Geometric optics (78A05) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Pseudo-integrable billiards and arithmetic dynamics
• On the integral geometry of Liouville billiard tables
• Caustics through the looking glass
• Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. I: Elementare Differentialgeometrie. 3. erweiterte Aufl. Bearbeitet und herausgeg. von G. Thomsen.
• The cut loci and the conjugate loci on ellipsoids
• Four equivalent properties of integrable billiards
• The geometry of billiards in ellipses and their Poncelet grids
• On the motion of billiards in ellipses
• The conjugate locus on convex surfaces
• Spherical and hyperbolic conics
• Using Rolling Circles to Generate Caustic Envelopes Resulting from Reflected Light
• Discrete analog of the projective equivalence and integrable billiard tables
• Integrable maps
• Liouville billiard tables and an inverse spectral result
• On the Last Geometric Statement of Jacobi
• Ivory’s theorem revisited
• On Cusps of Caustics by Reflection: Billiard Variations on the Four Vertex Theorem and on Jacobi’s Last Geometric Statement

This page was built for publication: Cusps of caustics by reflection in ellipses

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658763)