Introduction to Differential Geometry

Name: Introduction to Differential Geometry
Brand: Springer Fachmedien Wiesbaden
SKU: 9783662643396
Price: 41.4 EUR
Availability: InStock

Autor: Joel W. Robbin, Dietmar A. Salamon

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Fachmedien Wiesbaden

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

41.40 €

This textbook is suitable for a one semester lecture course on differential geometry for students of...

Informácie o knihe

Autor

Joel W. Robbin, Dietmar A. Salamon

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2022

Stránok

418

EAN

9783662643396

ISBN

3662643391

Enbook ID

38447681

Vydavateľ

Springer Fachmedien Wiesbaden

Hmotnosť

658

Rozmery

155 x 235 x 24

Kompletný popis

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.

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Introduction to Differential Geometry

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