From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe

DOI10.1007/978-3-030-13609-3_6zbMath1459.01003OpenAlexW2980785215MaRDI QIDQ5129770

Toshikazu Sunada

Publication date: 23 October 2020

Published in: Geometry in History (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-13609-3_6

zbMATH Keywords

geometrygeodesicsprojective spacecurvaturecosmologyuniversedifferential geometryinfinityclassical geometryfifth postulate

Mathematics Subject Classification ID

General histories, source books (01A05) History of geometry (51-03) History of functions of a complex variable (30-03) History of general topology (54-03)

Cites Work

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• Euclid vindicated from every blemish. Edited and annotated by Vincenzo De Risi. Translated from the Italian by G. B. Halsted and L. Allegri
• Aus den Briefbüchern Georg Cantors
• On Lobachevsky's trigonometric formulae
• On the works of Euler and his followers on spherical geometry
• GAUSS' LINKING NUMBER REVISITED
• The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
• A Mathematical Gift, III

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