Generalized Affine Connections Associated with the Space of Centered Planes [PDF]
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. Fields of these affine connection objects define torsion and curvature tensors.
Olga Belova
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Generalized bilinear connection on the space of centered planes
Differential Geometry of Manifolds of Figures, 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 are successfully applied in physics. In a generalized bundle, a bilinear connection associated with
Olga Belova
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Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization [PDF]
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 normalization of the space Π .
Olga Belova
semanticscholar +6 more sources
The space of centered planes and generalized bilinear connection
Filomat, 2023 We continue to study the space of centered planes in n-dimension projective space. 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 are successfully applied in physics.
Olga Belova
semanticscholar +4 more sources
Connections in fiberings associated with the Grassman manifold and the space of centered planes [PDF]
Journal of Mathematical Sciences, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olga Belova
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Smooth Points of the Space of Plane Foliations with a Center [PDF]
International Mathematics Research Notices, 2022 Abstract We prove that a logarithmic foliation corresponding to a generic line arrangement of $d+1 \geq 3$ lines in the complex plane, with pairwise natural and co-prime residues, is a smooth point of the center set of plane foliations (vector fields) of degree $d$.
Gavrilov, Lubomir, Movasati, Hossein
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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 .
O. Belova
semanticscholar +3 more sources
Degenerate manifolds, helimagnets, and multi- Q chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice [PDF]
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 up till third nearest neighbors, we find commensurate, helimagnetic, as ...
P. Balla, Y. Iqbal, K. Penc
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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 ...
Olga Belova
openalex +3 more sources
Effect of center voltage vectors (CVVs) of three-level space plane on the performance of dual inverter fed open end winding induction motor drive [PDF]
Chinese Journal of Electrical Engineering, 2019 Dual inverter fed open end winding induction motor (IM) drive offers many advantages over other multilevel inverter fed IM drives. Pulse width modulation (PWM) techniques are employed for the control of output voltage and frequency. Space vector base PWM techniques are popular among all the PWM techniques.
M. Harsha Vardhan Reddy +3 more
openaire +2 more sources