Sprache: Englisch
Verlag: American Mathematical Society, US, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes Königreich
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In den WarenkorbPaperback. Zustand: New. The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem-the first such treatment in a book in English. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most relevant contributions to the subject in the years 1959 to 1974. These include the pinching (or sphere) theorem, Berger's theorem for symmetric spaces, the differentiable sphere theorem, the structure of complete manifolds of non-negative curvature, and finally, results about the structure of complete manifolds of non-positive curvature. Emphasis is given to the phenomenon of rigidity, namely, the fact that although the conclusions which hold under the assumption of some strict inequality on curvature can fail when the strict inequality on curvature can fail when the strict inequality is relaxed to a weak one, the failure can happen only in a restricted way, which can usually be classified up to isometry. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in 1975. Since then, the subject has exploded, but the material covered in the book still represents an essential prerequisite for anyone who wants to work in the field.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
Zustand: New. Focuses on the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. This title begins with an introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem. It then gives a presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. Series: AMS Chelsea Publishing. Num Pages: 161 pages, Illustrations. BIC Classification: PBMP; PBPD. Category: (P) Professional & Vocational. Dimension: 261 x 184 x 13. Weight in Grams: 468. . 2008. Hardcover. . . . .
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In den WarenkorbPaperback. Zustand: Brand New. 162 pages. 5.98x0.98x9.02 inches. In Stock.
Sprache: Englisch
Verlag: American Mathematical Society, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: New.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: New.
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbHardcover. Zustand: Brand New. illustrated edition. 161 pages. 10.25x7.25x0.50 inches. In Stock.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: As New. Unread book in perfect condition.
Sprache: Englisch
Verlag: American Mathematical Society, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: As New. Unread book in perfect condition.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
Anbieter: Kennys Bookstore, Olney, MD, USA
Zustand: New. Focuses on the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. This title begins with an introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem. It then gives a presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. Series: AMS Chelsea Publishing. Num Pages: 161 pages, Illustrations. BIC Classification: PBMP; PBPD. Category: (P) Professional & Vocational. Dimension: 261 x 184 x 13. Weight in Grams: 468. . 2008. Hardcover. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: American Mathematical Society, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: GreatBookPricesUK, Woodford Green, Vereinigtes Königreich
EUR 72,05
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In den WarenkorbZustand: New.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
Anbieter: GreatBookPricesUK, Woodford Green, Vereinigtes Königreich
EUR 71,95
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In den WarenkorbZustand: New.
Sprache: Englisch
Verlag: American Mathematical Society, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
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In den WarenkorbZustand: New.
Sprache: Englisch
Verlag: American Mathematical Society, 2008
ISBN 10: 0821844172 ISBN 13: 9780821844175
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In den WarenkorbZustand: As New. Unread book in perfect condition.
Sprache: Englisch
Verlag: American Mathematical Society, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: GreatBookPricesUK, Woodford Green, Vereinigtes Königreich
EUR 84,95
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In den WarenkorbZustand: As New. Unread book in perfect condition.
Sprache: Englisch
Verlag: American Mathematical Society, US, 2025
ISBN 10: 1470481111 ISBN 13: 9781470481117
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
EUR 64,38
Anzahl: 2 verfügbar
In den WarenkorbPaperback. Zustand: New. The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem-the first such treatment in a book in English. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most relevant contributions to the subject in the years 1959 to 1974. These include the pinching (or sphere) theorem, Berger's theorem for symmetric spaces, the differentiable sphere theorem, the structure of complete manifolds of non-negative curvature, and finally, results about the structure of complete manifolds of non-positive curvature. Emphasis is given to the phenomenon of rigidity, namely, the fact that although the conclusions which hold under the assumption of some strict inequality on curvature can fail when the strict inequality on curvature can fail when the strict inequality is relaxed to a weak one, the failure can happen only in a restricted way, which can usually be classified up to isometry. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in 1975. Since then, the subject has exploded, but the material covered in the book still represents an essential prerequisite for anyone who wants to work in the field.