Persons: Polyakova, Katerina Valentinovna

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Polyakova, Katerina Valentinovna

Associate professor

Candidate of physico-mathematical sciences (2003)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

Keywords:

Connections, fibre bundles, vector-valued forms, Cartan--Laptev method

UDC:

514.7, 514.75, 514.76

MSC:

Subject:

Connections in principal fibre bundles

Main publications:

K. V. Polyakova, “Parallel displacements on the surface of a projective space”, Journal of Mathematical Sciences, 162:5 (2009), 675–709
K. V. Polyakova, “Spetsialnye affinnye svyaznosti 1-go i 2-go poryadkov”, Diff. geom. mnogoobr. figur., 2015, № 46, 114–128
K. V. Polyakova, “Generators of flat and symmetric flat affine connections”, Abstracts of the conference Problems of modern topology and its applications, Tashkent, 2016, 82–83
K. V. Polyakova, “Tangentsialnoznachnye formy 2-go poryadka”, Matem. zametki, 105:1 (2019), 84–94

	Publications in Math-Net.Ru	Citations
	2023
1.	K. V. Polyakova, “On the structure of an affine connection object and the torsion tensor in the bundle of linear frames”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220 (2023), 99–112	1
	2021
2.	K. V. Polyakova, “Canonical affine connections of the first and second orders”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 203 (2021), 71–83	2
	2020
3.	K. V. Polyakova, “Higher-order normals on manifolds”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180 (2020), 85–90
	2019
4.	K. V. Polyakova, “Second-Order Tangent-Valued Forms”, Mat. Zametki, 105:1 (2019), 84–94 ; Math. Notes, 105:1 (2019), 71–79	14
	2008
5.	K. V. Polyakova, “Parallel displacements on the surface of a projective space”, Fundam. Prikl. Mat., 14:2 (2008), 129–177 ; J. Math. Sci., 162:5 (2009), 675–709	12
	1997
6.	K. V. Polyakova, “Connections in the bundles associated with the manifold of pairs of tangent and contact planes of a surface”, Tr. Geom. Semin., 23 (1997), 99–112

Organisations