Results 1 to 10 of about 19,140 (81)
Generalized Affine Connections Associated with the Space of Centered Planes
Mathematics, 2021 Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings.
Olga Belova
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Generalized bilinear connection on the space of centered planes
Дифференциальная геометрия многообразий фигур, 2022 We continue to study the space of centered planes in projective space . In this paper, we use E. Cartan's method of external forms and the group-theoretical method of G. F. Laptev to study the space of centered planes of the same dimension. These methods
O.O. Belova
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Centered planes in the projective connection space
Дифференциальная геометрия многообразий фигур, 2020 The space of centered planes is considered in the Cartan projective connection space . The space is important because it has connection with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
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Mathematics, 2019 The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the
Olga Belova
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Acta Crystallographica Section E: Crystallographic Communications, 2023 The title compound, alternatively known as benzodiazaborole trimer, C18H15B3N6·2C3H6O, at 100 K crystallizes in the triclinic system, space group P\overline{1}.
Cole Streeter +2 more
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The Grassmann-like manifold of centered planes when a surface is described by the centre
Дифференциальная геометрия многообразий фигур, 2021 We continue to study of the Grassmann-like manifold of -centered planes. A special case is considered when the center describes an -dimensional surface . We will denote this manifold by . An analogue of the strong Norden normalization of the manifold
O.O. Belova
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Glued linear connection on surface of the projective space
Дифференциальная геометрия многообразий фигур, 2020 We consider a surface as a variety of centered planes in a multidimensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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Frontiers in Veterinary Science, 2023 IntroductionCanine tibial alignment is determined by two-dimensional angular measurements, and tibial torsion is challenging. Aim of the study was the development and evaluation of a CT technique to measure canine tibial varus and torsion angles ...
Andreas Brühschwein +4 more
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Дифференциальная геометрия многообразий фигур, 2019 This research is realized by Cartan — Laptev method (with prolongations and scopes, moving frame and exterior forms). In this paper we consider a space П of centered m-planes (a space of all centered planes of the dimension m). This space is considered
Е. Belova, O. Belova
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Physical Review Research, 2020 We present a detailed study of the ground-state phase diagram of the classical frustrated Heisenberg model on the face-centered-cubic lattice. By considering exchange interactions to third nearest neighbors, we find commensurate, helimagnetic, as well as
Péter Balla, Yasir Iqbal, Karlo Penc
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