Introduction to Differential Geometry
Produktnummer:
18c418fcac4e9442be9b678c3641fcf8ef
Autor: | Robbin, Joel W. Salamon, Dietmar A. |
---|---|
Themengebiete: | Riemannian manifolds accessible differential geometry curvature embeddings extrinsic differential geometry extrinsic vs. intrinsic differential geometry geodesics isometries between manifolds smooth submanifolds of Euclidean space |
Veröffentlichungsdatum: | 13.01.2022 |
EAN: | 9783662643396 |
Sprache: | Englisch |
Seitenzahl: | 418 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer Berlin |
Produktinformationen "Introduction to Differential Geometry"
This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point.The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor.An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory.

Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen