David G Ebin (9 results)
- Softcover
Seller: Rarewaves.com USA, London, United KingdomRarewaves.com USA
Contact seller5-star sellerCondition: New
US$ 80.34
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Paperback. Condition: 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.
- Softcover
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
Contact seller5-star sellerCondition: New
US$ 73.39
US$ 13.33 shippingShips from United Kingdom to U.S.A.Quantity: 2 available
Paperback. Condition: Brand New. 162 pages. 5.98x0.98x9.02 inches. In Stock.
- Softcover
Seller: GreatBookPrices, Columbia, U.S.A.GreatBookPrices
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US$ 84.09
US$ 2.64 shippingShips within U.S.A.Quantity: 8 available
Condition: New.
Language: English
Published by Chelsea Pub Co 2008
Series: Ams Chelsea Publishing, Book 39 of 63. Book 39 of 63 - Ams Chelsea Publishing
- Hardcover
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
Contact seller5-star sellerCondition: New
US$ 83.78
US$ 13.33 shippingShips from United Kingdom to U.S.A.Quantity: 1 available
Hardcover. Condition: Brand New. illustrated edition. 161 pages. 10.25x7.25x0.50 inches. In Stock.
- Softcover
Seller: GreatBookPrices, Columbia, U.S.A.GreatBookPrices
Contact seller5-star sellerCondition: Used - As new
US$ 94.09
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Condition: As New. Unread book in perfect condition.
- Softcover
Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK
Contact seller5-star sellerCondition: New
US$ 82.90
US$ 20.00 shippingShips from United Kingdom to U.S.A.Quantity: 8 available
Condition: New.
- Softcover
Seller: Majestic Books, Hounslow, United KingdomMajestic Books
Contact seller4-star sellerCondition: New
US$ 95.00
US$ 8.67 shippingShips from United Kingdom to U.S.A.Quantity: 3 available
Condition: New.
- Softcover
Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK
Contact seller5-star sellerCondition: Used - As new
US$ 98.14
US$ 20.00 shippingShips from United Kingdom to U.S.A.Quantity: 8 available
Condition: As New. Unread book in perfect condition.
- Softcover
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
Contact seller5-star sellerCondition: New
US$ 74.78
US$ 86.67 shippingShips from United Kingdom to U.S.A.Quantity: 4 available
Paperback. Condition: 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.
