| Title:
|
Morse-Sard theorem for closed geodesics (English) |
| Author:
|
Souček, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
265-272 |
| . |
| Category:
|
math |
| . |
| MSC:
|
58E10 |
| idZBL:
|
Zbl 0552.58013 |
| idMR:
|
MR768814 |
| . |
| Date available:
|
2008-06-05T21:18:05Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106298 |
| . |
| Reference:
|
[1] MORSE A. P.: The behavior of a function on its critical set.Ann. of Math. 40 (1939), 62-70. Zbl 0020.01205, MR 1503449 |
| Reference:
|
[2] DUBOVICKIJ A. J.: On the sets of singular points.(Russian), Izv. Akad. Nauk SSSR 31 (1967), 27-36. MR 0209444 |
| Reference:
|
[3] SOUČEK J., SOUČEK V.: The Morse-Sard theorem for realanalytic functions.Comment. Math. Univ. Carolinae 13 (1972), 45-51. MR 0308345 |
| Reference:
|
[4] POCHOZAJEV S. I.: On the set of critical values of functional.(Russian), Mat. Sb. 75 (1968), 106-111. MR 0221534 |
| Reference:
|
[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. MR 0370649 |
| Reference:
|
[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. MR 0372918 |
| Reference:
|
[7] FUČÍK S., NEČAS J., SOUČEK J., SOUČEK V.: Spectral analysis of nonlinear operators.Lecture Notes in Mathematics No. 346, Springer-Verlag 1973. MR 0467421 |
| Reference:
|
[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. MR 0458477 |
| Reference:
|
[9] KLINGENBERG W.: Lectures on closed geodesics.Springer-Verlag 1978. Zbl 0397.58018, MR 0478069 |
| Reference:
|
[10] HELGASON S.: Differential geometry and symmetric spaces.Academic Press 1962. Zbl 0111.18101, MR 0145455 |
| Reference:
|
[11] ALEXIEWICZ A., ORLICZ W.: Analytic operations in real Banach spaces.Studia Math. 14 (1954), 57-78. MR 0062947 |
| Reference:
|
[12] KUČERA M.: Hausdorff measures of the set of critical values of functions of the class $C^{k,\lambda}$.Comment. Math. Univ. Carolinae 13 (1972), 333-350. MR 0305421 |
| . |
