Lectures on Morse theory, old and new
Author:
Raoul Bott
Journal:
Bull. Amer. Math. Soc. 7 (1982), 331-358
MSC (1980):
Primary 58E05
DOI:
https://doi.org/10.1090/S0273-0979-1982-15038-8
Link to commentary:
Bull. Amer. Math. Soc., 48 (2011), no. 4, 517--523.
MathSciNet review:
663786
Full-text PDF
References | Similar Articles | Additional Information
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[BI] R. Bott, Nondegenerate critical manifold, Ann. of Math. (2) 60 ( 1954), 248-261. MR 64399
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[B2] R. Bott, The periodicity theorem for the classical groups, Ann. of Math. (2) 70 2 (1959), 179-203.
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[B3] R. Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171-206. MR 90730
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[G-M] D. Gromoll and W. Meyer, On differentiable functions with isolated critical points. Topology 8 ( 1969), 361-369. MR 246329
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[K] W. Klingenberg, Lectures on closed geodesics, Die Grundlehren der Mat. Wissenschaften, vol. 230, Springer-Verlag, Berlin and New York, 1978. MR 478069
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[L-S] L. Lyusternik and L. Schnirelmann, Topological methods in the calculus of variations, Gosndarstv. Izdat. Tehn-Teor. Lit., Moscow, 1930.
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[N] P. E. Newstead, Stable bundles of rank 2 and odd degree over a curve of genus 2, Topology 7 (1968), 205-215. MR 237500
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[S] C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. (2)85 (1967), 303-336. MR 233371
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[S-S] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. MR 228014
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[T] R. Thorn, Sur une partition en cellules associée aune fonction sur une varitè, C. R. Acad. Sci. Paris Sér. A-B 228 (1949), 973-975. MR 29160
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Additional Information
DOI:
https://doi.org/10.1090/S0273-0979-1982-15038-8
