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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
Resource Information
The item Riemannian geometry during the second half of the twentieth century, Marcel Berger represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Riemannian geometry during the second half of the twentieth century, Marcel Berger represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
- 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
- Language
- eng
- Extent
- ix, 182 pages
- Note
- Originally published: Stuttgart : B.G. Teubner, ©1998 (Jahresbericht der Deutschen Mathematiker-Vereinigung ; Bd. 100, Heft 2)
- 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
- Isbn
- 9780821820520
- 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
- 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
- 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
- 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
- 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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