Voir la notice de l'article provenant de la source Math-Net.Ru
@article{INTO_2018_144_a12, author = {A. M. Bayturaev}, title = {On {Geometry} of {Foliations} of {Codimension~}$1$}, journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory}, pages = {109--116}, publisher = {mathdoc}, volume = {144}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a12/} }
TY - JOUR AU - A. M. Bayturaev TI - On Geometry of Foliations of Codimension~$1$ JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2018 SP - 109 EP - 116 VL - 144 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2018_144_a12/ LA - ru ID - INTO_2018_144_a12 ER -
A. M. Bayturaev. On Geometry of Foliations of Codimension~$1$. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 109-116. http://geodesic.mathdoc.fr/item/INTO_2018_144_a12/
[1] Bakelman I. Ya., Verner A. A., Kantor B. E., Vvedenie v differentsialnuyu geometriyu «v tselom», Nauka, M., 1973 | MR
[2] Bibikov Yu. N., Obyknovennye differentsialnye uravneniya, LGU, L., 1981
[3] Gromol D., Klingenberg V., Meier V., Rimanova geometriya v tselom, Mir, M., 1971
[4] Kaipnazarova G., Narmanov A. Ya., “Topologiya sloenii, porozhdennykh poverkhnostyami urovnya”, Uzbek. mat. zh., 2008, no. 2, 53–60 | MR | Zbl
[5] Kaipnazarova G. Kh., Geometriya sloenii, porozhdennykh poverkhnostyami urovnya, Diss. na soisk. uch. step. kand. fiz.-mat. nauk, In-t mat. inform. tekhn. AN RUz, Tashkent, 2009
[6] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, v. 1, Nauka, M., 1981 | MR
[7] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, v. 2, Nauka, M., 1981 | MR
[8] Narmanov A., Sharapov S., “O poverkhnostyakh urovnya submersii”, Uzbek. mat. zh., 2004, no. 2, 62–66 | MR
[9] Narmanov A., Kaipnazarova G., “Metricheskie funktsii na rimanovykh mnogoobraziyakh”, Uzbek. mat. zh., 2010, no. 1, 11–20
[10] Palis Zh., Di Melu, Geometricheskaya teoriya dinamicheskikh sistem, Mir, M., 1986
[11] Blumenthal R., Hebda J., “Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations”, Quart. J. Math., 35 (1984), 383–392 | DOI | MR | Zbl
[12] Molino P., Riemannian foliations, Progr. Math., 73, Birkhäuser Boston Inc., 1988 | MR | Zbl
[13] Tondeur P., Foliations on Riemannian manifolds, Springer-Verlag, 1988 | MR | Zbl