Langue: anglais
Edité par American Mathematical Society, US, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
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Ajouter au panierPaperback. Etat : 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.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
EUR 64,95
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Ajouter au panierEtat : 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. . . . .
Langue: anglais
Edité par American Mathematical Society, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
EUR 77,10
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Ajouter au panierEtat : New.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
EUR 77,16
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Ajouter au panierEtat : New.
EUR 70,76
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Ajouter au panierPaperback. Etat : Brand New. 162 pages. 5.98x0.98x9.02 inches. In Stock.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
EUR 82,12
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Ajouter au panierEtat : As New. Unread book in perfect condition.
Vendeur : Revaluation Books, Exeter, Royaume-Uni
EUR 72,41
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Ajouter au panierHardcover. Etat : Brand New. illustrated edition. 161 pages. 10.25x7.25x0.50 inches. In Stock.
Langue: anglais
Edité par American Mathematical Society, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
EUR 83,29
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Ajouter au panierEtat : As New. Unread book in perfect condition.
Langue: anglais
Edité par American Mathematical Society, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
EUR 72,37
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Ajouter au panierEtat : New.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
EUR 71,98
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Ajouter au panierEtat : New.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
EUR 80,81
Quantité disponible : 1 disponible(s)
Ajouter au panierEtat : 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.
Langue: anglais
Edité par American Mathematical Society, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : Majestic Books, Hounslow, Royaume-Uni
EUR 83,96
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Ajouter au panierEtat : New.
Langue: anglais
Edité par American Mathematical Society, 2008
ISBN 10 : 0821844172 ISBN 13 : 9780821844175
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
EUR 84,84
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Ajouter au panierEtat : As New. Unread book in perfect condition.
Langue: anglais
Edité par American Mathematical Society, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
EUR 84,82
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Ajouter au panierEtat : As New. Unread book in perfect condition.
Langue: anglais
Edité par American Mathematical Society, US, 2025
ISBN 10 : 1470481111 ISBN 13 : 9781470481117
Vendeur : Rarewaves.com UK, London, Royaume-Uni
EUR 64,26
Quantité disponible : 4 disponible(s)
Ajouter au panierPaperback. Etat : 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.