Results 1 to 10 of about 545,652 (217)
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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Integrable systems in projective differential geometry [PDF]
Kyushu Journal of Mathematics, 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 +8 more sources
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
doaj +7 more sources
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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Projective differential geometry of curved surfaces [PDF]
Transactions of the American Mathematical Society, 1907 The theory of surfaces, as developed by the author in the preceding three memoirs, was based upon the assumption that the surface considered was referred to its asymptotic curves. The complete system of invariants and covariallts was set up on that hypothesis.
E. J. Wilczynski
semanticscholar +7 more sources
Differential geometry of complex projective plane conics [PDF]
Hokkaido Mathematical Journal, 2023 In this paper we study properties of complex plane projective curves from a geometric point of view. We focus our attention on properties of conics. We find that Gauss curvature determines a conic up to a hermitian transformation preserving the Fubini-Study metric of the complex projective plane and we discuss some other geometric properties of the ...
Enrique Artal Bartolo, R. MORÓN-SANZ
semanticscholar +4 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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Metrics in projective differential geometry: the geometry of solutions to the metrizability equation [PDF]
The Journal of Geometric Analysis, 2018 27 pages.
Keegan J. Flood, A. Rod Gover
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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
Kichoon Yang
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Book Review: Projective Differential Geometry of Curves and Ruled Surfaces [PDF]
Bulletin of the American Mathematical Society, 1907 Virgil Snyder
semanticscholar +5 more sources