Results 11 to 20 of about 4,821 (295)
Inclusions between Parabolic Geometries [PDF]
Pure and Applied Mathematics Quarterly, 2010 16 pages, to appear in the PAMQ, the special issue dedicated to Joseph J ...
Doubrov Boris, Slovák Jan
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PARABOLIC GEODESICS AS PARALLEL CURVES IN PARABOLIC GEOMETRIES [PDF]
International Journal of Mathematics, 2013 We give a simple characterization of the parabolic geodesics introduced by Čap, Slovák and Žádník for all parabolic geometries. This goes through the definition of a natural connection on the space of Weyl structures. We then show that parabolic geodesics can be characterized as the following data: a curve on the manifold and a Weyl structure along ...
Herzlich, Marc
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Analytic descriptions of parabolic X-ray mirrors [PDF]
Journal of Synchrotron Radiation, 2022 On X-ray beamlines and telescopes, glancing-incidence mirrors with parabolic profiles are used to collimate, focus, and collect light. Here, analytic descriptions for paraboloidal, plane-parabolic, and parabolic cylindrical mirrors in several congruent ...
Kenneth A. Goldberg
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The gap phenomenon in parabolic geometries [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 AbstractThe infinitesimal symmetry algebra of any Cartan geometry has maximum dimension realized by the flat model, but often this dimension drops significantly when considering non-flat geometries, so a gap phenomenon arises. For general (regular, normal) parabolic geometries of type(G,P)${(G,P)}$, we use Tanaka theory to derive a universal upper ...
Kruglikov, Boris, The, Dennis
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Weyl structures for parabolic geometries
MATHEMATICA SCANDINAVICA, 2003 Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and
Cap, Andreas, Slovak, Jan
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Parabolic geometries, CR-tractors, and the Fefferman construction
Differential Geometry and its Applications, 2002 This is a survey article on the recent joint work of the author with A. R. Gover on the standard tractor bundle and its canonical linear connections in the geometry of nondegenerate CR structures of hyperbolic type. The author mainly treats three classical constructions in CR-geometry: (I) The standard tractor bundles and its linear connections, which ...
Čap, Andreas
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A Car as Parabolic Geometry [PDF]
, 2021 We show that a car, viewed as a nonholonomic system, provides an example of a flat parabolic geometry of type $({\bf SO}(2,3),P_{12})$, where $P_{12}$ is a Borel parabolic subgroup in ${\bf SO}(2,3)$. We discuss the relations of this geometry of a car with the geometry of circles in the plane (a low dimensional Lie sphere geometry), the geometry of 3 ...
Hill, C. Denson, Nurowski, Paweł
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Massive and massless plasmons in germanene nanosheets
Scientific Reports, 2022 Atomically thin crystals may exhibit peculiar dispersive electronic states equivalent to free charged particles of ultralight to ultraheavy masses. A rare coexistence of linear and parabolic dispersions yields correlated charge density modes exploitable ...
Michele Pisarra +2 more
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Modeling of Solitary Wave Interaction with Curved Face Seawalls Using Numerical Method
Advances in Civil Engineering, 2022 This paper considers the solitary wave interaction with seawalls of different curved geometries and sloped faces using numerical modeling. This interaction was simulated using the Finite Volume Method-Volume of Fraction (FVM-VOF) approach.
Seyyed-Mahmood Ghassemizadeh +1 more
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Frontiers in Energy Research, 2021 The present research benefits from the finite volume method in investigating the influence of combined turbulators on the thermal and hydraulic exergy of a parabolic solar collector with two-phase hybrid MWCNT-Cu/water nanofluid. All parabolic geometries
Yacine Khetib +3 more
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