Results 1 to 10 of about 56,622 (133)

Differential geometry of Hilbert schemes of curves in a projective space [PDF]

open access: goldComplex Manifolds, 2019
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4.
Bielawski Roger, Peternell Carolin
doaj   +3 more sources

Benenti Tensors: A useful tool in Projective Differential Geometry [PDF]

open access: goldComplex Manifolds, 2018
Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is the dimension of the space of the metrics projectively equivalent to g. For any pair of metrics
Manno Gianni, Vollmer Andreas
doaj   +2 more sources

Higher Order Connections [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
doaj   +6 more sources

Differential Invariants of Conformal and Projective Surfaces [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
doaj   +10 more sources

Integrable systems in projective differential geometry

open access: bronze, 1999
Some of the most important classes of surfaces in projective 3-space are reviewed: these are isothermally asymptotic surfaces, projectively applicable surfaces, surfaces of Jonas, projectively minimal surfaces, etc.
Ferapontov, E. V.
core   +3 more sources

Metric connections in projective differential geometry [PDF]

open access: green, 2008
We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover   +6 more
core   +3 more sources

Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We consider Bridgeland stability conditions for three-folds conjectured by Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential geometry of numerical walls, characterizing when they are bounded, discussing possible intersections ...
Marcos Jardim, Antony Maciocia
doaj   +1 more source

Geometry of two-parametric family of linear line complexes

open access: yesLietuvos Matematikos Rinkinys, 2005
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
doaj   +3 more sources

Terracini Loci: Dimension and Description of Its Components

open access: yesMathematics, 2023
We study the Terracini loci of an irreducible variety X embedded in a projective space: non-emptiness, dimensions and the geometry of their maximal dimension’s irreducible components.
Edoardo Ballico
doaj   +1 more source

FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS

open access: yesФізико-математична освіта, 2022
Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
doaj   +1 more source

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