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Könyv Introduction to Differential Geometry Joel W. Robbin

Introduction to Differential Geometry

Szerző: Joel W. Robbin, Dietmar A. Salamon
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer Fachmedien Wiesbaden
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
15 417 Ft
This textbook is suitable for a one semester lecture course on differential geometry for students of...

Információk a könyvről

Szerző
Joel W. Robbin, Dietmar A. Salamon
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2022
oldal
418
EAN
9783662643396
ISBN
3662643391
Enbook ID
38447681
Kiadó
Springer Fachmedien Wiesbaden
Súly
658
Méretek
155 x 235 x 24

Teljes leírás

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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