Riemannian Manifolds : An Introduction to Curvature

By:

Lee, John M

Material type: Text

TextPublication details: New York : Springer, 1997Description: xv, 224 p. : 20x27 cmISBN:

0387983228 (softcover : acidfree paper)

Subject(s):

Riemannian manifolds

DDC classification:

516.373 LEE-R

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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Book	Air University Central Library Islamabad Mathematics	Mathematics	516.373 LEE-R (Browse shelf(Opens below))	Available	P13521

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 topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Includes bibliographical references (p. [209]-211) and index.

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Riemannian Manifolds : An Introduction to Curvature