Generic existence of morse functions on infinite dimensional riemannian manifolds and applications

Abraham, R.; Robbin, J.: Transversal Mappings and Flows, W.A.Benjamin, New York, 1967.
MATH Google Scholar
Geba, K.: The Leray-Schauder degree and framed bordism, in La théorie des points fixes et ses applications a l'analyse, Presses de l'Université de Montréal, Montréal, 1975.
Google Scholar
Grove, K.: Condition (C) for the energy intergral on certain path spaces and applications to the theory of geodesics, J. Differential Geometry 8 (1973), 207–223.
MathSciNet MATH Google Scholar
Hirsch, M.W.: Differential Topology, Graduate Texts in Mathematics, Springer Verlag, New York, 1976.
Google Scholar
Milnor, J.: Morse Theory, Princeton University Press, Princeton, New Jersey, 1963.
Book MATH Google Scholar
Milnor, J.: On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc. 90 (1959), 272–280.
MathSciNet MATH Google Scholar
Motreanu, D.: Existence of minimization with nonconvex constraints, J. Math. Anal. Appl. 117 (1986), 128–137.
Article MathSciNet MATH Google Scholar
Motreanu, D.: Tangent vectors to sets in the theory of geodesics, Nagoya Math. J. 106 (1987), 29–47.
MathSciNet MATH Google Scholar
Motreanu, D.: Generic existence of Morse functions, Proc. of the Colloq. on Geometry and Topology, Timisoara, 1989, to appear.
Google Scholar
Palais, R.S.: Seminar on the Atiyah-Singer Index Theorem, Princeton University Press, Princeton, New Jersey, 1965.
Book MATH Google Scholar
Quinn, F.: Transversal approximation on Banach manifolds, Proc. Symp. Pure Math 15 (1970), 213–222.
Article MathSciNet MATH Google Scholar
Saut, J.C.; Temam, R.: Generic properties of nonlinear boundary value problems, Comm. Partial Differential Equations 4 (1979), 293–319.
Article MathSciNet MATH Google Scholar
Schwartz, J. T.: Nonlinear Functional Analysis, Gordon and Breach Science Publishers Inc., New York, 1969.
MATH Google Scholar
Smale, S.: An infinite dimensional version of Sard's theorem, Amer. J. Math. 87 (1965), 861–866.
Article MathSciNet MATH Google Scholar

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Seminarul Matematic “Al.Myller”, Universitatea “Al.I.Cuza” Iasi, 6600, Iasi, Romania
D. Motreanu

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D. Motreanu
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Dirk Ferus Ulrich Pinkall Udo Simon Berd Wegner

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Motreanu, D. (1991). Generic existence of morse functions on infinite dimensional riemannian manifolds and applications. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083640

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DOI: https://doi.org/10.1007/BFb0083640
Published: 28 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54728-0
Online ISBN: 978-3-540-46445-7
eBook Packages: Springer Book Archive

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Generic existence of morse functions on infinite dimensional riemannian manifolds and applications

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