Morse-Sard theorem for closed geodesics

Jiří Souček

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 2, page 265-272
  • ISSN: 0010-2628

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Souček, Jiří. "Morse-Sard theorem for closed geodesics." Commentationes Mathematicae Universitatis Carolinae 025.2 (1984): 265-272. <http://eudml.org/doc/17316>.

@article{Souček1984,
author = {Souček, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {closed geodesics; Morse-Sard theorem},
language = {eng},
number = {2},
pages = {265-272},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Morse-Sard theorem for closed geodesics},
url = {http://eudml.org/doc/17316},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Souček, Jiří
TI - Morse-Sard theorem for closed geodesics
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 2
SP - 265
EP - 272
LA - eng
KW - closed geodesics; Morse-Sard theorem
UR - http://eudml.org/doc/17316
ER -

References

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  1. MORSE A. P., The behavior of a function on its critical set, Ann. of Math. 40 (1939), 62-70. (1939) Zbl0020.01205MR1503449
  2. DUBOVICKIJ A. J., On the sets of singular points, (Russian), Izv. Akad. Nauk SSSR 31 (1967), 27-36. (1967) MR0209444
  3. SOUČEK J., SOUČEK V., The Morse-Sard theorem for realanalytic functions, Comment. Math. Univ. Carolinae 13 (1972), 45-51. (1972) MR0308345
  4. POCHOZAJEV S. I., On the set of critical values of functional, (Russian), Mat. Sb. 75 (1968), 106-111. (1968) MR0221534
  5. FUČÍK S., KUČERA M., NEČAS J., SOUČEK J., SOUČEK V., Morse-Sard theorem in infinite-dimensional spaces and the investigation of critical levels, Čas. pěst. mat. 99 (1974), 217-243. (1974) MR0370649
  6. FUČÍK S., NEČAS J., SOUČEK J., SOUČEK V., Upper bound for the number of eigenvalues for nonlinear operators, Ann. Scuola Norm. Sup. Pisa Vol. XXVII Fasc. 1 (1973), 53-71. (1973) MR0372918
  7. FUČÍK S., NEČAS J., SOUČEK J., SOUČEK V., Spectral analysis of nonlinear operators, Lecture Notes in Mathematics No. 346, Springer-Verlag 1973. (1973) MR0467421
  8. KLINGENBERG W., The theory of closed geodesics, in: Eigenvalues of non-linear problems, ed. Prodi G. (C.I.M.E. Varenna, Italy 1974), Edizioni Cremonese, Roma 1974. (1974) MR0458477
  9. KLINGENBERG W., Lectures on closed geodesics, Springer-Verlag 1978. (1978) Zbl0397.58018MR0478069
  10. HELGASON S., Differential geometry and symmetric spaces, Academic Press 1962. (1962) Zbl0111.18101MR0145455
  11. ALEXIEWICZ A., ORLICZ W., Analytic operations in real Banach spaces, Studia Math. 14 (1954), 57-78. (1954) MR0062947
  12. KUČERA M., Hausdorff measures of the set of critical values of functions of the class C k , λ , Comment. Math. Univ. Carolinae 13 (1972), 333-350. (1972) MR0305421

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