The Resource Riemannian geometry during the second half of the twentieth century, Marcel Berger

Riemannian geometry during the second half of the twentieth century, Marcel Berger

Label
Riemannian geometry during the second half of the twentieth century
Title
Riemannian geometry during the second half of the twentieth century
Statement of responsibility
Marcel Berger
Creator
Subject
Language
eng
Summary
"In this book, Berger provides a survey of the main developments in Riemannian geometry in the last fifty years, focusing his main attention on the following five areas: Curvature and topology; the construction of and the classification of space forms; distinguished metrics, especially Einstein metrics; eigenvalues and eigenfunctions of the Laplacian; the study of periodic geodesics and the geodesic flow. Other topics are treated in less detail in a separate section."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1927-
http://library.link/vocab/creatorName
Berger, Marcel
Illustrations
illustrations
Index
index present
LC call number
QA649
LC item number
.B4585 2000
Literary form
non fiction
Nature of contents
bibliography
Series statement
University lecture series,
Series volume
v. 17
http://library.link/vocab/subjectName
  • Geometry, Riemannian
  • Riemann, Géométrie de
  • Geometry, Riemannian
  • Differentiaalmeetkunde
  • Géométrie de Riemann
  • Riemannsche Geometrie
Label
Riemannian geometry during the second half of the twentieth century, Marcel Berger
Instantiates
Publication
Note
Originally published: Stuttgart : B.G. Teubner, ©1998 (Jahresbericht der Deutschen Mathematiker-Vereinigung ; Bd. 100, Heft 2)
Bibliography note
Includes bibliographical references (p. 131-163) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Curvature and Topology.
  • Pinching Problems.
  • Curvature of a given sign.
  • Finiteness, compactness, collapsing and the space of all Riemannian structures
  • The Geometrical Hierarchy of Riemannian Manifolds: Space Forms.
  • The constant curvature case.
  • Space forms of rank one.
  • Space forms of symmetric spaces of rank larger than one
  • Riemannian Geometry up to 1950.
  • Gauss, Riemann, Christoffel and Levi-Civita.
  • Van Mangoldt, Hadamard, Elie Cartan and Heinz Hopf.
  • Synge, Myers, Preissmann: The use of geometric tools.
  • Hodge, harmonic forms and the Bochner technique: The use of analysis.
  • Allendoerfer, Weil and Chern.
  • Existing tools and a brief look at the new ones.
  • Existing examples and a brief look at the new ones
Dimensions
26 cm.
Extent
ix, 182 pages
Isbn
9780821820520
Lccn
99032803
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)41540225
  • (OCoLC)ocm41540225
Label
Riemannian geometry during the second half of the twentieth century, Marcel Berger
Publication
Note
Originally published: Stuttgart : B.G. Teubner, ©1998 (Jahresbericht der Deutschen Mathematiker-Vereinigung ; Bd. 100, Heft 2)
Bibliography note
Includes bibliographical references (p. 131-163) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Curvature and Topology.
  • Pinching Problems.
  • Curvature of a given sign.
  • Finiteness, compactness, collapsing and the space of all Riemannian structures
  • The Geometrical Hierarchy of Riemannian Manifolds: Space Forms.
  • The constant curvature case.
  • Space forms of rank one.
  • Space forms of symmetric spaces of rank larger than one
  • Riemannian Geometry up to 1950.
  • Gauss, Riemann, Christoffel and Levi-Civita.
  • Van Mangoldt, Hadamard, Elie Cartan and Heinz Hopf.
  • Synge, Myers, Preissmann: The use of geometric tools.
  • Hodge, harmonic forms and the Bochner technique: The use of analysis.
  • Allendoerfer, Weil and Chern.
  • Existing tools and a brief look at the new ones.
  • Existing examples and a brief look at the new ones
Dimensions
26 cm.
Extent
ix, 182 pages
Isbn
9780821820520
Lccn
99032803
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)41540225
  • (OCoLC)ocm41540225

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