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Differential Geometry in the Large

Seminar Lectures New York University 1946 and Stanford University 1956

  • Heinz Hopf

Part of the Lecture Notes in Mathematics book series (LNM, volume 1000)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Selected Topics in Geometry

    1. Front Matter
      Pages 1-1
    2. New York University 1946 Notes by Peter Lax

  3. Differential Geometry in the Large

  4. Back Matter
    Pages 185-189

About this book

Introduction

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- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .

Keywords

Gaussian curvature Mean curvature Riemannian manifold curvature differential geometry differential geometry of surfaces

Authors and affiliations

  • Heinz Hopf
    • 1
  1. 1.Eidgenössische Technische Hochschule ZürichGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-39482-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51497-8
  • Online ISBN 978-3-540-39482-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site