Rectangles, curves, and Klein bottles

DOI10.1090/bull/1755zbMath1478.51006OpenAlexW3208993915MaRDI QIDQ5860467

Richard Evan Schwartz

Publication date: 19 November 2021

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bull/1755

zbMATH Keywords

Klein bottlerectangular peg problem

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Elementary problems in Euclidean geometries (51M04)

Related Items (1)

On sets intersecting every square of the plane

Cites Work

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• Quadrangles inscribed in a closed curve and the vertices of a curve
• Triangles inscribed in simple closed curves
• Rectangles inscribed in symmetric continua
• Quadrangles inscribed in a closed curve
• Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios
• The rectangular peg problem
• A trichotomy for rectangles inscribed in Jordan loops
• A Survey on the Square Peg Problem
• Inscribed Squares in Plane Curves
• Homology class of a Lagrangian Klein bottle
• Inscribed squares and square‐like quadrilaterals in closed curves
• A Proof of the Jordan Curve Theorem
• Equilateral triangles and continuous curves
• ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
• AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
• SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM

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