A Schur's theorem via a monotonicity and the expansion module

DOI10.1515/crelle-2023-0061arXiv2301.03732MaRDI QIDQ6071112

Lei Ni

Publication date: 27 November 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.03732

zbMATH Keywords

space curveplane curveSchur's theoremCauchy's arm lemma

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Cites Work

• Classification of convex ancient solutions to curve shortening flow on the sphere
• The theorem of Schur in the Minkowski plane
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• Estimates on the modulus of expansion for vector fields solving nonlinear equations
• Proof of the fundamental gap conjecture
• Convex Polyhedra
• The geometry of spherical curves and the algebra of quaternions
• On Cauchy's Lemma Concerning Convex Polygons
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