Results 11 to 20 of about 56,204 (86)
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 linear system of partial differential equations.
Eastwood, Michael George +1 more
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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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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
Kyushu Journal of Mathematics, 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. It is demonstrated that the corresponding projective "Gauss-Codazzi" equations reduce to integrable systems which are quite familiar from ...
Ferapontov, E. V.
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Some formulae arising in projective-differential geometry [PDF]
ANNALI DELL UNIVERSITA DI FERRARA, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE PARIS, ALESSANDRO, ILARDI, GIOVANNA
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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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IEEE Access, 2020 In this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization
Yuanyuan Huang +4 more
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Metric projective geometry, BGG detour complexes and partially massless gauge theories [PDF]
, 2014 A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems.
Gover, A. R., Latini, E., Waldron, A.
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Differential geometry of Hilbert schemes of curves in a projective space
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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Differential geometry of systems of projections in Banach algebras [PDF]
Pacific Journal of Mathematics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corach, Gustavo +2 more
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Equivalence problems in projective differential geometry [PDF]
Transactions of the American Mathematical Society, 1984 Equivalence problems for abstract, and induced, projective structures are investigated. (i) The notion of induced projective structures on submanifolds of a projective space is rigorously defined. (ii) Equivalence problems for such structures are discussed; in particular, it is shown that nonplanar surfaces in R
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