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pro vyhledávání: '"A.V. Vyalova"'
Autor:
Yu. I. Shevchenko, A.V. Vyalova
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 53, Pp 148-160 (2022)
It is well-known Levi-Chivita’s construction of object for affine connection (in modern terminology — linear connection) by the field of non-degenerate metric on a smooth manifold. An inverse problem (a construction of metric by given linear conn
Externí odkaz:
https://doaj.org/article/ba042f2b50bf4a88a5d2a30cbb11dcfe
Autor:
A.V. Vyalova, Yu. I. Shevchenko
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 52, Pp 52-62 (2021)
In n-dimensional projective space Pn a manifold , i. e., a family of pairs of planes one of which is a hyperplane in the other, is considered. A principal bundle arises over it, . A typical fiber is the stationarity subgroup of the generator of pai
Externí odkaz:
https://doaj.org/article/200119ab64fa4d3881139286180a3648
Autor:
A.V. Vyalova
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 51, Pp 49-57 (2020)
The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it. Typical fiber for one of them is the stationarity subgroup for hypercente
Externí odkaz:
https://doaj.org/article/ea0c71e5e3fd421ab5ab3068738df4b9