The Morse index theorem
HTML articles powered by AMS MathViewer
- by Howard Osborn PDF
- Proc. Amer. Math. Soc. 18 (1967), 759-762 Request permission
References
- W. Ambrose, The index theorem in Riemannian geometry, Ann. of Math. (2) 73 (1961), 49–86. MR 133783, DOI 10.2307/1970282
- Richard L. Bishop and Richard J. Crittenden, Geometry of manifolds, Pure and Applied Mathematics, Vol. XV, Academic Press, New York-London, 1964. MR 0169148
- I. M. Gelfand and S. V. Fomin, Calculus of variations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. Revised English edition translated and edited by Richard A. Silverman. MR 0160139
- J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331, DOI 10.1515/9781400881802
- Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874, DOI 10.1090/coll/018
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 759-762
- MSC: Primary 57.50; Secondary 49.00
- DOI: https://doi.org/10.1090/S0002-9939-1967-0212839-7
- MathSciNet review: 0212839