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pro vyhledávání: '"K. V. Polyakova"'
Autor:
K. V. Polyakova
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 54, Iss 2, Pp 29-44 (2023)
This paper relates to differential geometry, and the research technique is based on G. F. Laptev’s method of extensions and envelopments, which generalizes E. Cartan's method of moving frame and exterior forms. A manifold is studied, the structu
Externí odkaz:
https://doaj.org/article/b718433ad0a44a47bc7b4559ed960c1b
Autor:
K. V. Polyakova, M. V. Kurylyova
Publikováno v:
Библиосфера, Vol 0, Iss 2, Pp 61-69 (2020)
An ex-libris (a bookplate) is a valuable historical and cultural information resource. It helps to determine the ownership of a book in a particular collection, allows the understanding the history of existence of a copy that had several owners, and
Externí odkaz:
https://doaj.org/article/ae5897c671fe40b2b95319c3db0e9870
Autor:
K. V. Polyakova
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 51, Pp 86-102 (2020)
The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i. e., a space complementing the first-order tangent space to the second-order tangent sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3059d62843e6c1c07524a141283ea60
https://journals.kantiana.ru/geometry/4686/25782/
https://journals.kantiana.ru/geometry/4686/25782/
Autor:
K. V. Polyakova
Publikováno v:
Mathematical Notes. 105:71-79
Tangent-valued forms, tangent and cotangent vectors of the first and the second order are considered. For an affine connection, second-order tangent-valued (vertical and horizontal) forms determining linear operators in the second-order tangent and c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bcbe2d2d3c7d1dd5350ce38cf722774
https://doi.org/10.1134/s0001434619010085
https://doi.org/10.1134/s0001434619010085
Autor:
K. V. Polyakova
Publikováno v:
Journal of Mathematical Sciences. 162:675-709
This paper is devoted to studies of parallel displacements of directions and planes in linear and nonlinear (in the narrow sense) connections along lines on a surface of a projective space considered as the point manifold and the manifold of tangenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9b75dbe2e91d369f2f5cc916c3949aa
https://doi.org/10.1007/s10958-009-9654-1
https://doi.org/10.1007/s10958-009-9654-1