Graduate Texts in Mathematics #224: Metric Structures in Differential Geometry
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1
Metric Structures in Differential Geometry (2004)
EN NWISBN: 9780387204307 bzw. 038720430X, in Englisch, Springer New York, Springer New York, Springer New York, neu.
Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Free Shipping on eligible orders over $25.
This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic point-set topology. The first chapter provides a comprehensive overview of differentiable manifolds. The following two chapters are devoted to fiber bundles and homotopy theory of fibrations. Vector bundles have been emphasized, although principal bundles are also discussed in detail. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. Chapter 5, with its focus on the tangent bundle, also serves as a basic introduction to Riemannian geometry in the large. This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry.Gerard Walschap is Professor of Mathematics at the University of Oklahoma where he developed this book for a series of graduate courses he has taught over the past few years.
This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic point-set topology. The first chapter provides a comprehensive overview of differentiable manifolds. The following two chapters are devoted to fiber bundles and homotopy theory of fibrations. Vector bundles have been emphasized, although principal bundles are also discussed in detail. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. Chapter 5, with its focus on the tangent bundle, also serves as a basic introduction to Riemannian geometry in the large. This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry.Gerard Walschap is Professor of Mathematics at the University of Oklahoma where he developed this book for a series of graduate courses he has taught over the past few years.
2
Metric Structures in Differential Geometry
EN HC NWISBN: 9780387204307 bzw. 038720430X, in Englisch, Springer, Berlin, gebundenes Buch, neu.
Lieferung aus: Deutschland, Versandkostenfrei.
buecher.de GmbH & Co. KG, [1].
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.2004. viii, 229 S. 7 SW-Abb.,.Versandfertig in 3-5 Tagen, Hardcover.
buecher.de GmbH & Co. KG, [1].
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.2004. viii, 229 S. 7 SW-Abb.,.Versandfertig in 3-5 Tagen, Hardcover.
3
Metric Structures in Differential Geometry (2004)
EN NW RPISBN: 9780387204307 bzw. 038720430X, in Englisch, Bertrams Print On Demand, neu, Nachdruck.
Lieferung aus: Deutschland, Versandkostenfrei.
AHA-BUCH GmbH, [4009276].
- This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. - Besorgungstitel - vorauss. Lieferzeit 3-5 Tage.. H.
AHA-BUCH GmbH, [4009276].
- This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. - Besorgungstitel - vorauss. Lieferzeit 3-5 Tage.. H.
4
Metric Structures in Differential Geometry (Graduate Texts in Mathematics) (2004)
EN HC USISBN: 9780387204307 bzw. 038720430X, in Englisch, 229 Seiten, 2004. Ausgabe, Springer, gebundenes Buch, gebraucht.
Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 1-2 business days.
Von Händler/Antiquariat, more-than-words.
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres., Hardcover, Ausgabe: 2004, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2004-04-27, Studio: Springer, Verkaufsrang: 3241204.
Von Händler/Antiquariat, more-than-words.
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres., Hardcover, Ausgabe: 2004, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2004-04-27, Studio: Springer, Verkaufsrang: 3241204.
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