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Graduate Texts in Mathematics - 176: Riemannian Manifolds

An Introduction to Curvature

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  • 244 stránok
  • 9 hodin čítania

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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 most fundamental theorems relating curvature and the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

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Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee

Jazyk
Rok vydania
1997
Väzba
(mäkká),
Stav knihy
Dobrá
Cena
36,49 €

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Titul
Graduate Texts in Mathematics - 176: Riemannian Manifolds
Podtitul
An Introduction to Curvature
Jazyk
anglicky
Autori
John Lee
Vydavateľ
Springer
Rok vydania
1997
Väzba
mäkká
Počet strán
244
ISBN10
0387983228
ISBN13
9780387983226
Série
Anotácia
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 most fundamental theorems relating curvature and the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.