Zobrazeno 1 - 10
of 17
pro vyhledávání: '"A. Ya. Sultanov"'
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 55, Iss 1, Pp 74-80 (2024)
In this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differenti
Externí odkaz:
https://doaj.org/article/377ab0a4f48e4decb9bb8f54ec15c4ff
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 54, Iss 2, Pp 63-70 (2023)
The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real
Externí odkaz:
https://doaj.org/article/1d05a5d2fbb441ad827596455c996958
Autor:
A. Ya. Sultanov, G.A. Sultanova
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 53, Pp 118-126 (2022)
Synectic extensions of complete lifts of linear connections in tangent bundles were introduced by A. P. Shirokov in the seventies of the last century [1; 2]. He established that these connections are linear and are real realizations of linear connect
Externí odkaz:
https://doaj.org/article/f54161cf493443dc806aabb98a7b447a
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 52, Pp 123-136 (2021)
In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field. A system of equations is obtained, which is satisfied by the components of an ar
Externí odkaz:
https://doaj.org/article/06b4bdd03a064eb4b9920b8f86b13c53
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 52, Pp 137-143 (2021)
The theory of tangent bundles over a differentiable manifold M belongs to the geometry and topology of manifolds and is an intensively developing area of the theory of fiber spaces. The foundations of the theory of fibered spaces were laid in the
Externí odkaz:
https://doaj.org/article/a21578e0571f479391f4ea880f152ba3
Publikováno v:
Metallurgist. 64:1288-1294
This article demonstrates that the yields of gold, silver, and copper increase when sulfide gold-bearing ore is exposed to nanosecond electromagnetic pulses (NEMP) in an aqueous medium. The pulse generator was operated under a duration of 1 ns, pulse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94ca19ce21c58b74356b5abdcc8b8f85
https://doi.org/10.1007/s11015-021-01117-w
https://doi.org/10.1007/s11015-021-01117-w
Autor:
O. A. Monakhova, A. Ya. Sultanov
Publikováno v:
Journal of Mathematical Sciences. 245:601-643
This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5590022570f18106af7f6f22c1f5db53
https://doi.org/10.1007/s10958-020-04713-4
https://doi.org/10.1007/s10958-020-04713-4
Autor:
K. M. Budanov, A. Ya. Sultanov
Publikováno v:
Russian Mathematics. 59:1-9
We obtain the canonical expansion of an arbitrary infinitesimal affine transformation of a Weil bundle of second order over a differentiable manifold with complete lift connection. We establish necessary and sufficient conditions under which a vector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::864079e10a4faef8166bf6bb75e46a60
https://doi.org/10.3103/s1066369x15120014
https://doi.org/10.3103/s1066369x15120014
Autor:
A. Ya. Sultanov
Publikováno v:
Mathematical Notes. 91:847-850
We obtain necessary and sufficient conditions for a holomorphic vector field to be affine for a holomorphic linear connection defined on aWeil bundle. We also prove that the Lie algebra over R of holomorphic affine vector fields for the natural prolo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9eef4063e72be8c54d40b6bc1fd80bcc
https://doi.org/10.1134/s0001434612050318
https://doi.org/10.1134/s0001434612050318
Autor:
N. I. Manina, A. Ya. Sultanov
Publikováno v:
Russian Mathematics. 55:52-57
We obtain the canonical expansion of an infinitesimal affine transformation of the second order tangent bundle with horizontal lift connection. We establish necessary and sufficient conditions under which a vector field is an infinitesimal affine tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::536d76fabd4c40f4236a566e05310177
https://doi.org/10.3103/s1066369x11090076
https://doi.org/10.3103/s1066369x11090076