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Differential Geometry and Complex Analysis

A Volume Dedicated to the Memory of Harry Ernest Rauch

  • Book
  • © 1985

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Editors:
  1. Isaac Chavel

    1. The City College of the City University of New York, New York, USA

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  2. Hershel M. Farkas

    1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

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Table of contents (17 chapters)

  1. Front Matter

    Pages N1-XIII
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  2. H. E. Rauch, Géomètre Différentiel

    • Par Marcel Berger
    Pages 1-13

  3. H. E. Rauch, Function Theorist

    • Clifford J. Earle
    Pages 15-31

  4. H. E. Rauch, Theta Function Practitioner

    • Hershel M. Farkas
    Pages 33-47

  5. Some loci in Teichmüller Space for Genus Six Defined by Vanishing Thetanulls

    • Robert D. M. Accola
    Pages 49-63

  6. Möbius Transformations and Clifford Numbers

    • Lars V. Ahlfors
    Pages 65-73

  7. Polynomial Approximation in Quasidisks

    • J. M. Anderson, F. W. Gehring, A. Hinkkanen
    Pages 75-86

  8. An Inequality for Riemann Surfaces

    • Lipman Bers
    Pages 87-93

  9. Extremal Kähler Metrics II

    • Eugenio Calabi
    Pages 95-114

  10. On the Characteristic Numbers of Complete Manifolds of Bounded Curvature and Finite Volume

    • Jeff Cheeger, Mikhael Gromov
    Pages 115-154

  11. Deformation of Surfaces Preserving Principal Curvatures

    • Shiing-shen Chern
    Pages 155-163

  12. One-Dimensional Metric Foliations in Constant Curvature Spaces

    • Detlef Gromoll, Karsten Grove
    Pages 165-168

  13. The Existence of Three Short Closed Geodesics

    • Wilhelm Klingenberg
    Pages 169-179

  14. On Lifting Kleinian Groups to SL (2, ℂ)

    • Irwin Kra
    Pages 181-193

  15. On the Ends of Trajectories

    • Albert Marden, Kurt Strebel
    Pages 195-204

  16. An Integrability Condition for Simple Lie Groups

    • Min-Oo, Ernst A. Ruh
    Pages 205-211

  17. Uniqueness in the Cauchy Problem for a Degenerate Elliptic Second Order Equation

    • Louis Nirenberg
    Pages 213-218

  18. On the Structure of Complete Manifolds with Positive Scalar Curvature

    • Shing Tung Yau
    Pages 219-222

  19. Back Matter

    Pages 223-224
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Keywords

About this book

This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979. In organizing the volume we solicited: (i) articles summarizing Rauch's own work in differential geometry, complex analysis and theta functions (ii) articles which would give the reader an idea of the depth and breadth of Rauch's researches, interests, and influence, in the fields he investigated, and (iii) articles of high scientific quality which would be of general interest. In each of the areas to which Rauch made significant contribution - pinching theorems, teichmiiller theory, and theta functions as they apply to Riemann surfaces - there has been substantial progress. Our hope is that the volume conveys the originality of Rauch's own work, the continuing vitality of the fields he influenced, and the enduring respect for, and tribute to, him and his accom­ plishments in the mathematical community. Finally, it is a pleasure to thank the Department of Mathematics, of the Grad­ uate School of the City University of New York, for their logistical support, James Rauch who helped us with the biography, and Springer-Verlag for all their efforts in producing this volume. Isaac Chavel . Hershel M. Farkas Contents Harry Ernest Rauch - Biographical Sketch. . . . . . . . VII Bibliography of the Publications of H. E. Rauch. . . . . . X Ph.D. Theses Written under the Supervision of H. E. Rauch. XIII H. E. Rauch, Geometre Differentiel (by M. Berger) . . . . . . . .

Editors and Affiliations

  • The City College of the City University of New York, New York, USA

    Isaac Chavel

  • Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Hershel M. Farkas

Bibliographic Information

  • Book Title: Differential Geometry and Complex Analysis

  • Book Subtitle: A Volume Dedicated to the Memory of Harry Ernest Rauch

  • Editors: Isaac Chavel, Hershel M. Farkas

  • DOI: https://doi.org/10.1007/978-3-642-69828-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin, Heidelberg 1985

  • Softcover ISBN: 978-3-642-69830-9Published: 22 November 2011

  • eBook ISBN: 978-3-642-69828-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 224

  • Topics: Differential Geometry, Analysis

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