The variational theory of geodesics
by Postnikov, M. M., (Mikhail Mikhaĭlovich)
"The first half of the book contains an exposition of Riemannian geometry based on Koszul's axiom for an affine connection. The presentation is modeled after the treatment in S. Helgason's book, Differential Geometry and Symmetric Spaces, Academic Press, 1982. The second half deal's with Morse's variational theory of geodesics with significant amplifications given by Bott in his paper on the stable homotopy of the classical groups (Annals of Mathematics, 1959)."- foreword
Read More ↓Title Statements
- Full title :The variational theory of geodesics / M.M. Postnikov, Professor, Moscow State University, Senior Associate, V.A. Steklov Institute of Mathematics, U.S.S.R. Academy of Sciences ; translated by Scripta Technica, Inc. ; edited by Bernard R. Gelbaum.
Summary
"The first half of the book contains an exposition of Riemannian geometry based on Koszul's axiom for an affine connection. The presentation is modeled after the treatment in S. Helgason's book, Differential Geometry and Symmetric Spaces, Academic Press, 1982. The second half deal's with Morse's variational theory of geodesics with significant amplifications given by Bott in his paper on the stable homotopy of the classical groups (Annals of Mathematics, 1959)."- foreword
Read More ↓Edition Statements
- Publication Date:1983, ©1967
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:New York
- Language:eng
- Publication Date:1983, ©1967
Notes
Translation of: Variat︠s︡ionnai︠a︡ teorii︠a︡ geodezicheskikh.
"This Dover edition, first published in 1983, is an unabridged and unaltered republication of the work first published by W.B. Saunders Company, Philadelphia, 1967..."
The Physical Object
- Description:viii, 200 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:0486631664, 9780486631660
- oclc:ocm08827668
- LC Classification:QA649
- Dewey Decimal:516.3/6
Table of Contents
Smooth manifolds -- Spaces of affine connection -- Riemannian spaces -- The variational properties of geodesics -- A reduction theorem.
Read More ↓Subjects
Writers
No reviews yet. Be the first to rate this work.
Related Works
more →
Variational analysis and set optimization: developments and applications in decisi…
Khan, Akhtar A.
Variational views in mechanics
Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization
Attouch, H.
Variational analysis and set optimization: developments and applications in decisi…
Khan, Akhtar A.
Files & Downloads
-
The Variational Theory of Geodesics -- (.pdf)
PDF · 15.8 MB · updated -
The Variational Theory of Geodesics -- (.djvu)
DJVU · 2.6 MB · updated -
The Variational Theory of Geodesics -- (.djvu)
DJVU · 1.8 MB · updated
Rate & Review