Riemannian Geometry: Mathematics: Theory & Applications
Autor Manfredo P. do Carmo Traducere de Francis Flahertyen Limba Engleză Hardback – 1992
A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight intothe subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.
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Specificații
ISBN-13: 9780817634902
ISBN-10: 0817634908
Pagini: 300
Ilustrații: XV, 300 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.54 kg
Ediția:1992
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Mathematics: Theory & Applications
Locul publicării:Boston, MA, United States
ISBN-10: 0817634908
Pagini: 300
Ilustrații: XV, 300 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.54 kg
Ediția:1992
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Mathematics: Theory & Applications
Locul publicării:Boston, MA, United States
Public țintă
GraduateCuprins
0-Differentiable Manifolds.- 1-Riemannian Metrics.- 2-Affine Connections; Riemannian Connections.- 3-Geodesics; Convex Neighborhoods.- 4-Curvature.- 5-Jacobi Fields.- 6-Isometric Immersions.- 7-Complete Manifolds; Hopf-Rinow and Hadamard Theorems.- 8-Spaces of Constant Curvature.- 9-Variations of Energy.- 10-The Rauch Comparison Theorem.- 11-The Morse Index Theorem.- 12-The Fundamental Group of Manifolds of Negative Curvature.- 13-The Sphere Theorem.- References.