The Variational Theory of Geodesics

The Variational Theory of Geodesics

By: M. M. Postnikov, Bernard R. Gelbaum

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Riemannian geometry is a fundamental area of modern mathematics and is important to the study of relativity. Within the larger context of Riemannian mathematics, the active subdiscipline of geodesics (shortest paths) in Riemannian spaces is of particular significance. This compact and self-contained text by a noted theorist presents the essentials of modern differential geometry as well as basic tools for the study of Morse theory. The advanced treatment emphasizes analytical rather than topological aspects of Morse theory and requires a solid background in calculus.
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.

Reprint of the W. B. Saunders, Philadelphia, 1967 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486838285
ISBN 139780486838281
Author/EditorM. M. Postnikov, Bernard R. Gelbaum
Page Count208
Dimensions6 x 9

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