Tangential singularities. (English. Russian original) Zbl 0493.58005
Funct. Anal. Appl. 15, 103-114 (1981); translation from Funkts. Anal. Prilozh. 15, No. 2, 36-49 (1981).
MSC:
| 58C25 | Differentiable maps on manifolds |
| 58K99 | Theory of singularities and catastrophe theory |
| 53A07 | Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces |
References:
| [1] | N. N. Nekhoroshev, ”Exponential estimate of the time of stability of Hamiltonian systems close to integrable ones,” Usp. Mat. Nauk,32, No. 6, 5-66 (1977). · Zbl 0389.70028 |
| [2] | M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities [Russian translation], Mir, Moscow (1977). · Zbl 0429.58004 |
| [3] | V. I. Arnol’d, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1974). |
| [4] | V. I. Arnol’d, ”Wave front evolution and equivariant Morse lemma,” Commun. Pure Appl. Math.,28, No. 6, 557-582 (1976). · Zbl 0343.58003 · doi:10.1002/cpa.3160290603 |
| [5] | O. A. Platonova, ”Singularities of the mutual disposition of a surface and a line,” Usp. Mat. Nauk,36, No. 1, 221-222 (1981). · Zbl 0458.14014 |
| [6] | V. I. Arnol’d, ”Indices of singular points of 1-forms on a manifold with boundary, displacement of invariants of groups generated by reflections, and singular projections of smooth surfaces,” Usp. Mat. Nauk,34, No. 2, 3-38 (1979). |
| [7] | Y. L. Kergosien and R. Thom, ”Sur les points paraboliques des surfaces,” C. R. Sci., Paris, Ser. A,290, 705-711 (1980). · Zbl 0435.58005 |
| [8] | C. McCrory, ”Generic curves and surfaces in three-space: contact with lines and planes,” Preprint (1980). |
| [9] | T. Banchoff, T. Gaffney, and C. McCrory, ”Cusps of Gauss mappings,” Preprint (1980). · Zbl 0478.53002 |
| [10] | O. V. Lyashko, ”Geometry of bifurcation diagrams,” Usp. Mat. Nauk,34, No. 3, 205-206 (1979). · Zbl 0434.32020 |
| [11] | V. V. Goryunov, ”Geometry of bifurcation diagrams of simple projections onto the line,” Funkts. Anal. Prilozhen.,15, No. 2, 1-8 (1981). · Zbl 0463.30010 · doi:10.1007/BF01082373 |
| [12] | C. McCrory, ”Profiles of surfaces,” Preprint (1980). |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
