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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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
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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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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
Michael Eastwood, Vladimir S. Matveev
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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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Geometry of two-parametric family of linear line complexes
Lietuvos 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
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Terracini Loci: Dimension and Description of Its Components
Mathematics, 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
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Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry [PDF]
, 1998 E. V. Ferapontov
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