Metric structures in differential geometry

Autor*innen

• Gerard Walschap

Parameter

• 232 Seiten
• 9 Lesestunden

• Geometrie
• Mathematik

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2004