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Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics): v. 176

Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics): v. 176

Yazar : John M. Lee
Yayınevi : Springer
ISBN : 9780387983226
Baskı yılı : 1997
Sayfa sayısı : 244
Ağırlık : 0.35 kg
Stok durumu : Tükendi   
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four mos
What Is Curvature?.- Review of Tensors, Manifolds, and Vector Bundles.- Definitions and Examples of Riemannian Metrics.- Connections.- Riemannian Geodesics.- Geodesics and Distance.- Curvature.- Riemannian Submanifolds.- The Gauss-Bonnet Theorem.- Jacobi