Smooth Points of the Space of Plane Foliations with a Center
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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Generalized Affine Connections Associated with the Space of Centered Planes [PDF]
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.
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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]
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
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Generalized bilinear connection on the space of centered planes
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
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The space of centered planes and generalized bilinear connection
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.
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Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization [PDF]
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 .
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The Gromov width of complex Grassmannians [PDF]
We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
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Momentum space design of high-Q photonic crystal optical cavities [PDF]
The design of high quality factor (Q) optical cavities in two dimensional photonic crystal (PC) slab waveguides based upon a momentum space picture is presented.
Painter, Oskar, Srinivasan, Kartik
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Enhancement of Wigner crystallization in quasi low-dimensional solids [PDF]
The crystallization of electrons in quasi low-dimensional solids is studied in a model which retains the full three-dimensional nature of the Coulomb interactions.
E. Y. Andrei +9 more
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A lower bound for the area of Plateau foams [PDF]
Real foams can be viewed as geometrically well-organized dispersions of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles become polyhedral-like and the foam can be viewed
Gimeno, Vicent +2 more
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