Results 1 to 10 of about 171,951 (264)
Differential geometry of Hilbert schemes of curves in a projective space [PDF]
Complex 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
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Benenti Tensors: A useful tool in Projective Differential Geometry [PDF]
Complex 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
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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY [PDF]
, 2000 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.
E. V. Ferapontov
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Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system [PDF]
Proceedings of the Royal Society A, 2018 We present the first steps of a procedure which discretizes surface theory in classical projective differential geometry in such a manner that underlying integrable structure is preserved.
W. K. Schief, A. Szereszewski
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Metrics in Projective Differential Geometry: The Geometry of Solutions to the Metrizability Equation [PDF]
Journal of Geometric Analysis, 2018 Pseudo-Riemannian metrics with Levi-Civita connection in the projective class of a given torsion-free affine connection are equivalent to the maximal rank solutions of a certain overdetermined projectively invariant differential equation often called the
Keegan J. Flood, A. Rod Gover
semanticscholar +3 more sources
Higher Order Connections [PDF]
Symmetry, 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
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Differential Invariants of Conformal and Projective Surfaces [PDF]
Symmetry, 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
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Metric connections in projective differential geometry [PDF]
, 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
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Some Formulae Arising in Projective-Differential Geometry [PDF]
Annali dell?Università di Ferrara, 2001 We set up a framework in which some projective-differential intuitive concepts can be very easily formalized. Then we prove some general formulas.
DE PARIS, ALESSANDRO, ILARDI, GIOVANNA
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Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]
Épijournal 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
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