The Resource Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956, Heinz Hopf ; with a preface by S.S. Chern

Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956, Heinz Hopf ; with a preface by S.S. Chern

Label
Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956
Title
Differential geometry in the large
Title remainder
seminar lectures, New York University, 1946 and Stanford University, 1956
Statement of responsibility
Heinz Hopf ; with a preface by S.S. Chern
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1894-1971
http://library.link/vocab/creatorName
Hopf, Heinz
Index
no index present
LC call number
  • QA3
  • QA670
  • QA670
LC item number
  • .L28 no. 1000
  • .H67 1983
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
1911-2004
http://library.link/vocab/relatedWorkOrContributorName
Chern, Shiing-Shen
Series statement
Lecture notes in mathematics
Series volume
1000
http://library.link/vocab/subjectName
  • Geometry, Differential
  • Global differential geometry
  • Géométrie différentielle
  • Géométrie différentielle globale
  • Geometry, Differential
  • Global differential geometry
Label
Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956, Heinz Hopf ; with a preface by S.S. Chern
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part ONE. I. Selected Topics in Geometry. 1. The Euler Characteristic and Related Topics --- 2. Selected Topics in Elementary Differential Geometry --- 3. The Isoperimetric Inequality and Related Inequalities --- 4. The Elementary Concept of Area and Volume ---- Part TWO. Differential Geometry in the Large. Introduction ---- 1. Differential Geometry of Surfaces in the Small --- 2. Some General Remarks on Closed Surfaces in Differential Geometry --- 3. The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaréʹs Theorem on the Singularities of Fields of Line Elements --- 4. Hadamardʹs Characterization of the Ovaloids --- 5. Closed Surfaces with Constant Gauss Curvature (Hilbertʹs Method) -- Generalizations and Problems -- General Remarks on Weinqarten Surfaces --- 6. General Closed Surfaces of Genus O with Constant Mean Curvature -- Generalizations --- 7. Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature -- Generalizations --- 8. The Congruence Theorem for Ovaloids --- 9. Singularities of Surfaces with Constant Negative Gauss Curvature
Dimensions
25 cm.
Extent
vi, 184 pages
Isbn
9783540120049
Lccn
83010304
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)09622060
  • (OCoLC)ocm09622060
Label
Differential geometry in the large : seminar lectures, New York University, 1946 and Stanford University, 1956, Heinz Hopf ; with a preface by S.S. Chern
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part ONE. I. Selected Topics in Geometry. 1. The Euler Characteristic and Related Topics --- 2. Selected Topics in Elementary Differential Geometry --- 3. The Isoperimetric Inequality and Related Inequalities --- 4. The Elementary Concept of Area and Volume ---- Part TWO. Differential Geometry in the Large. Introduction ---- 1. Differential Geometry of Surfaces in the Small --- 2. Some General Remarks on Closed Surfaces in Differential Geometry --- 3. The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaréʹs Theorem on the Singularities of Fields of Line Elements --- 4. Hadamardʹs Characterization of the Ovaloids --- 5. Closed Surfaces with Constant Gauss Curvature (Hilbertʹs Method) -- Generalizations and Problems -- General Remarks on Weinqarten Surfaces --- 6. General Closed Surfaces of Genus O with Constant Mean Curvature -- Generalizations --- 7. Simple Closed Surfaces (of Arbitrary Genus) with Constant Mean Curvature -- Generalizations --- 8. The Congruence Theorem for Ovaloids --- 9. Singularities of Surfaces with Constant Negative Gauss Curvature
Dimensions
25 cm.
Extent
vi, 184 pages
Isbn
9783540120049
Lccn
83010304
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)09622060
  • (OCoLC)ocm09622060

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