Differential Geometry in the Large : Seminar Lectures New York University 1946 and Stanford University 1956

These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- H...

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מחבר ראשי: Hopf, Heinz, 1894-1971, mathématicien
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
סדרה:Lecture notes in mathematics 1000
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הערה: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Differential geometry in the large, seminar lectures, New York University 1946 and Stanford University 1956, Heinz Hopf, Second edition, Berlin [etc.], Springer, 1989, 1 vol. (VI-184 p.), Lecture notes in mathematics, 3-540-51497-X
• Differential Geometry in the Large, Texte imprimé, 9783662210925
תוכן הענינים:
  • Selected Topics in Geometry
  • The Euler Characteristic and Related Topics
  • Selected Topics in Elementary Differential Geometry
  • The Isoperimetric Inequality and Related Inequalities
  • The Elementary Concept of Area and Volume
  • Differential Geometry in the Large
  • Differential Geometry of Surfaces in the Small
  • Some General Remarks on Closed Surfaces in Differential Geometry
  • The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré s Theorem on the Singularities of Fields of Line Elements
  • Hadamard s Characterization of the Ovaloids
  • Closed Surfaces with Constant Gauss Curvature (Hilbert s Method) Generalizations and Problems General Remarks on Weinqarten Surfaces
  • General Closed Surfaces of Genus O with Constant Mean Curvature Generalizations
  • Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature Generalizations
  • The Congruence Theorem for Ovaloids
  • Singularities of Surfaces with Constant Negative Gauss Curvature.