Zobrazeno 1 - 10
of 18
pro vyhledávání: '"V. V. Shurygin"'
Autor:
V. V. Shurygin
Publikováno v:
Journal of Mathematical Sciences. 248:505-510
In this paper, we have found necessary and sufficient conditions under which two Abel equations with coefficients depending on a control parameter are locally equivalent with respect to the same pseudogroup of feedback transformations. These conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42a781dcb9f2fe620596f7d93765cc76
https://doi.org/10.1007/s10958-020-04891-1
https://doi.org/10.1007/s10958-020-04891-1
Autor:
A. A. Malyugina, V. V. Shurygin
Publikováno v:
Russian Mathematics. 63:74-79
We study properties of the holonomy pseudogroup on a total immersed transversal of the canonical foliation on a smooth manifold over the algebra of dual numbers ⅅ. We apply holonomy pseudogroups to the investigation of ⅅ-diffeomorphisms between q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff0abd3a21a288b7843a90d2ba6c7a6f
https://doi.org/10.3103/s1066369x19020099
https://doi.org/10.3103/s1066369x19020099
Autor:
S. K. Zubkova, V. V. Shurygin
Publikováno v:
Russian Mathematics. 60:70-74
Two holomorphic fields of geometric objects on a transverse Weil bundle are called equivalent if there exists a holomorphic diffeomorphism of this bundle onto itself which induces the identity transformation of the base manifold and maps one of these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5684a88369cc67f297063ae4df82dcbf
https://doi.org/10.3103/s1066369x16050078
https://doi.org/10.3103/s1066369x16050078
Autor:
A. A. Malyugina, V. V. Shurygin
Publikováno v:
Lobachevskii Journal of Mathematics. 37:66-74
We construct some complexes of differential forms on a smooth manifold MnD over the algebra of dual numbers D on the base of a decomposition of the tensor product TMnD⊗ℝD into the Whitney sum of two subbundles. It is shown that these complexes ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b7db0d1104bb98b76a288e1c1844432
https://doi.org/10.1134/s1995080216010066
https://doi.org/10.1134/s1995080216010066
Autor:
V. V. Shurygin
Publikováno v:
Lobachevskii Journal of Mathematics. 37:80-86
In the present paper we establish the necessary and sufficient conditions for two generalized Abel differential equations to be locally equivalent under the action of the pseudogroup of linear transformations of the form {x ↦ f(x), y ↦ g(x) · y
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4724ba8307279782f8dbaa41e646005
https://doi.org/10.1134/s1995080216010091
https://doi.org/10.1134/s1995080216010091
Autor:
L. A. Vashurina, V. V. Shurygin
Publikováno v:
Lobachevskii Journal of Mathematics. 35:264-280
The second order tangent bundle T2M of a smooth manifold M carries a natural structure of a smooth manifold over the algebra D2 of truncated polynomials of degree two in one variable, which gives rise to an extended structure group of T2M and the cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6a0f142e51c4bacc0660b9b5373e603
https://doi.org/10.1134/s199508021403010x
https://doi.org/10.1134/s199508021403010x
Autor:
V. V. Shurygin
Publikováno v:
Lobachevskii Journal of Mathematics. 34:264-271
In the present paper we establish the necessary and sufficient conditions for two ordinary differential equations of the form y″2 + A(x, y, y′)y″ + B(x, y, y′) = 0 to be equivalent under the action of the pseudogroup of contact transformation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66c2f5f67b48862f90364d2e24e2028d
https://doi.org/10.1134/s1995080213030098
https://doi.org/10.1134/s1995080213030098
Autor:
V. V. Shurygin
Publikováno v:
Lobachevskii Journal of Mathematics. 33:75-107
In the present paper, we study complete and vertical lifts of tensor fields from a smooth manifold M to its Weil bundle \(T^\mathbb{A} M\) defined by a Frobenius Weil algebra \(\mathbb{A}\). For a Poisson manifold (M, w), we show that the complete li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f770cd42fb9a841491aee0b37933e18
https://doi.org/10.1134/s199508021201009x
https://doi.org/10.1134/s199508021201009x
Autor:
V. V. Shurygin
Publikováno v:
Journal of Mathematical Sciences. 177:758-771
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ of Weil A-velocities is a generalization of the Lie derivative Lvλ of a field λ with respect to a vector field v. In this paper, Lie jets Lθλ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21d2e32c659146ffade6f6cdd4496e7c
https://doi.org/10.1007/s10958-011-0507-3
https://doi.org/10.1007/s10958-011-0507-3
Autor:
V. V. Shurygin
Publikováno v:
Journal of Mathematical Sciences. 169:315-341
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48aad1558a825edf89e3ed5b697945a3
https://doi.org/10.1007/s10958-010-0051-6
https://doi.org/10.1007/s10958-010-0051-6