Suitable for advanced undergraduates and graduate students of mathematics, the text opens with a chapter on smooth manifolds, followed by a consideration of spaces of affine connection. Subsequent chapters explore Riemannian spaces and offer an extensive treatment of the variational properties of geodesics and auxiliary theorems and matters.

The Variational Theory of Geodesics
by Postnikov, M. M.; Gelbaum, Bernard R.-
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Summary
Suitable for advanced undergraduates and graduate students of mathematics, the text opens with a chapter on smooth manifolds, followed by a consideration of spaces of affine connection. Subsequent chapters explore Riemannian spaces and offer an extensive treatment of the variational properties of geodesics and auxiliary theorems and matters.
Author Biography
Table of Contents
1. Smooth Manifolds.
2. Spaces of Affine Connection.
3. Riemannian Spaces.
4. The Variational Properties of Geodesics.
Appendix to Ch. 4
5. A Reduction Theorem.
Index.
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