| Softcover ISBN: | 978-0-8218-0703-3 |
| Product Code: | CBMS/53 |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
| eBook ISBN: | 978-1-4704-2415-2 |
| Product Code: | CBMS/53.E |
| List Price: | $29.00 |
| Individual Price: | $23.20 |
| Softcover ISBN: | 978-0-8218-0703-3 |
| eBook: ISBN: | 978-1-4704-2415-2 |
| Product Code: | CBMS/53.B |
| List Price: | $60.00 $45.50 |
| Softcover ISBN: | 978-0-8218-0703-3 |
| Product Code: | CBMS/53 |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
| eBook ISBN: | 978-1-4704-2415-2 |
| Product Code: | CBMS/53.E |
| List Price: | $29.00 |
| Individual Price: | $23.20 |
| Softcover ISBN: | 978-0-8218-0703-3 |
| eBook ISBN: | 978-1-4704-2415-2 |
| Product Code: | CBMS/53.B |
| List Price: | $60.00 $45.50 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 53; 1983; 79 ppMSC: Primary 58; Secondary 53
This book contains expository lectures from the CBMS Regional Conference held at the University of Florida, 1982.
The author considers a space formed by all closed curves in which the closed geodesics are characterized as the critical points of a functional, an idea going back to Morse. This exposition gives a refined version of Morse's approach which has several advantages over the old one—in particular, it possesses a canonical \(\mathbf O(2)\)-action.
Readership -
Table of Contents
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Chapters
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Introduction
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Chapter 1. The Hilbert manifold of $H^1$-curves
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Chapter 2. The loop space and the space of closed curves
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Chapter 3. The second order neighborhood of a critical point
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Appendix. The $S^1$- and the $\mathbb {Z}_2$-action on $\lambda M$
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Chapter 4. Closed geodesics on spheres
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Chapter 5. On the existence of infinitely many closed geodesics
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This book contains expository lectures from the CBMS Regional Conference held at the University of Florida, 1982.
The author considers a space formed by all closed curves in which the closed geodesics are characterized as the critical points of a functional, an idea going back to Morse. This exposition gives a refined version of Morse's approach which has several advantages over the old one—in particular, it possesses a canonical \(\mathbf O(2)\)-action.
-
Chapters
-
Introduction
-
Chapter 1. The Hilbert manifold of $H^1$-curves
-
Chapter 2. The loop space and the space of closed curves
-
Chapter 3. The second order neighborhood of a critical point
-
Appendix. The $S^1$- and the $\mathbb {Z}_2$-action on $\lambda M$
-
Chapter 4. Closed geodesics on spheres
-
Chapter 5. On the existence of infinitely many closed geodesics
