A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems

Autor: O. M. Omelyan, L. E. Evtushik

Publikováno v: Journal of Mathematical Sciences. 177:551-557

We give the widest geometrical generalization of the notion of connection in fiber spaces that allows one to adequately construct the geometry of ordinary differential systems of any order. In this area, there is a theory of nonlinear stable connecti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d28fc41586cf777ca128c12274ea99e3
https://doi.org/10.1007/s10958-011-0480-x

The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces

Autor: L. E. Evtushik, Josef Mikeš, Volodymyr A. Kiosak

Publikováno v: Russian Mathematics. 54:29-33

We give an estimate of the first lacuna in the distribution of mobility degrees r of n-dimensional (pseudo-)Riemannian spaces with respect to conformal mappings onto Einstein spaces. We obtain a tensor characteristic of spaces which are not conformal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3eb6ec1bf155a86e53b62128d7ba870b
https://doi.org/10.3103/s1066369x10080049

Cartan connections and Kawaguchi geometry of spaces obtained by the moving Frame method

Autor: L. E. Evtushik

Publikováno v: Journal of Mathematical Sciences. 89:1279-1300

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1b80054db8da9b6aaaafdfd34098a894
https://doi.org/10.1007/bf02414872

Differential algebraic methods of geometric investigations in the works of A. M. Vasil'ev and his scientific school

Autor: L. E. Evtushik, S. kh. Arutyunyan, Yu. G. Lumiste, P. Ya. Grushko

Publikováno v: Journal of Soviet Mathematics. 51:2595-2613

We present a survey of works that develop invariant methods of geometric investigations related to the calculation of exterior differential forms and the theory of Vasil'ev exterior differential algebras.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e5362caa87b88a2457210429f932277e
https://doi.org/10.1007/bf01095427

M

Autor: V. I. Pagurova, D. D. Sokolov, S. S. Marchenko, A. P. Ershov, A. I. Shtern, L. D. Kudryavtsev, M. M. Postnikov, A. I. Orlov, Yu. V. Nesterenko, V. A. Skvortsov, V. T. Filippov, Yu. I. Merzlyakov, A. L. Shmel’kin, S. A. Stepanov, A. V. Chernavskiĭ, V. S. Malakhovskiĭ, B. M. Bredikhin, M. S. Nikulin, V. B. Kudryavtsev, V. I. Sobolev, A. F. Kharshiladze, E. D. Solomentsev, V. T. Bazylev, A. V. Arkhangel’skiĭ, S. G. Kreĭn, A. V. Prokhorov, V. A. Sevast’yanov, A. M. Zubkov, B. A. Sevast’yanov, V. P. Chistyakov, N. P. Korneĭchuk, V. P. Motornyĭ, A. V. Malyshev, V. P. Motornyi, A. N. Shiryadev, R. Z. Khas’minskiĭ, A. N. Shiryaev, M. G. Shur, A. B. Ivanov, S. M. Nikol’skiĭ, L. D. Kantorovich, V. L. Makarov, S. I. Adyan, A. V. Gladkiĭ, A. N. Tikhonov, A. A. Samarskiĭ, A. G. Sveshnikov, V. S. Vladimirov, V. G. Karmanov, A. N. Kolmogorov, Yu. V. Prokhorov, G. Rozenberg, A. Salomaa, V. M. Starzhinskiĭ, M. V. Fedoryuk, S. P. Strunkov, D. A. Suprunenko, E. L. Tonkov, T. A. Germogenova, A. A. Korbut, I. I. Volkov, A. A. Sapozhenko, V. L. Popov, V. V. Rumyantsev, A. L. Onishchik, A. I. Loginov, V. S. Shul’man, V. V. Gorbatsevich, I. O. Sarmanov, D. V. Anosov, V. E. Govorov, L. N. Shevrin, N. N. Vil’yams, N. N. Vorob’ev, V. V. Fedorov, Yu. P. Ivanilov, V. V. Okhrimenko, A. M. Yaglom, I. A. Ibragimov, V. D. Kukin, I. B. Vapnyarskiĭ, L. A. Sidorov, V. V. Sazonov, A. P. Terekhin, R. A. Minlos, A. I. Galochkin, G. M. Vaĭnikko, P. S. Modenov, V. I. Nechaev, Yu. A. Brychkov, A. P. Prudnikov, I. P. Mysovskikh, P. I. Lizorkin, R. L. Dobrushin, V. V. Prelov, B. A. Pasynkov, M. I. Voĭtsekhovskiĭ, B. I. Golubov, V. B. Korotkov, E. M. Chirka, D. A. Ponomarev, A. G. Dragalin, G. I. Marchuk, Yu. E. Alenitsyn, Yu. M. Davydov, L. E. Evtushik, N. S. Bakhvalov, Ü. Lumiste, V. I. Berdyshev, I. Kh. Sabitov, P. L. Ul’yanov, V. G. Sprindzhuk, A. Kaneko, N. Kh. Rozov, V. V. Pospelov, V. A. Chuyanov, Yu. B. Rudyak, Yu. A. Kuznetsov, S. K. Sobolev, E. S. Nikolaev, V. A. Iskovskikh, A. A. Talalyan, A. T. Fomenko, A. S. Kholevo, E. B. Yanovskaya, Yu. V. Rakitskiĭ, E. G. Goluzina, E. G. D’yakonov, Yu. N. Subbotin, V. A. Zalgaller, E. I. Kovalevskaya, V. N. Remeslennikov, A. M. Nakhushev, V. P. Mikhaĭlov, O. A. Ivanova, B. V. Khvedelidze, A. M. Nakushev, Yu. D. Burago, N. I. Klimov, V. V. Afanas’ev, D. M. Smirnov, V. N. Grishin, A. D. Taĭmanov, M. A. Taĭtslin, A. A. Panchishkin, A. N. Parshin, K. A. Zhevlakov, L. A. Skornyakov, L. V. Kuz’min, A. V. Mikhalev, G. V. Kuz’mina, Yu. A. Kaz’min

Publikováno v: Encyclopaedia of Mathematics ISBN: 9780792329756

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3eacbaa3c3d8369565f0664e3b921a07
https://doi.org/10.1007/978-1-4899-3793-3_6