Geodesic
On some properties of an indefinite metric
Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 1-6 
D. D. Sokolov. On some properties of an indefinite metric. Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 1-6. http://geodesic.mathdoc.fr/item/SM_1971_15_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper there are considered some general questions of geometry, characteristic for the theory of an indefinite metric: the degeneracy of the equations of imbedding in linear spaces, the topological structure of submanifolds of constant signature, etc. Also examined are some applications of these questions to the study of topological principles of cosmology. Bibliography: 6 titles.

[1] Ya. B. Zeldovich, I. D. Novikov, Relyativistskaya astrofizika, Nauka, Moskva, 1967 | Zbl

[2] R. Penrouz, Konformnaya traktovka beskonechnosti, Gravitatsiya i topologiya. Aktualnye problemy, eds. D. D. Ivanenko, Mir, Moskva, 1966

[3] Dzh. Milnor, Teoriya Morsa, Mir, Moskva, 1967 | MR

[4] D. D. Sokolov, “O topologii modelei Vselennoi”, DAN SSSR, 195:6 (1970), 1307–1309 | MR | Zbl

[5] K. Gödel, “An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation”, Rev. Mod. Phys., 21:3 (1949), 447–450 | DOI | MR | Zbl

[6] N. Kuiper, “On $C^1$-isometric imbeddings”, Indagationes Math., 17:4 (1955), 545–556 | MR