Results 1 to 10 of about 131,900 (163)
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
A Rod Gover, Keegan Flood, Gover A Rod
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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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Metric Connections in Projective Differential Geometry [PDF]
The IMA Volumes in Mathematics and Its Applications, 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
Vladimir Matveev +2 more
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General Projective Differential Geometry [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1937 A D Michal, Michal A D
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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: Mathematical, Physical and Engineering Sciences, 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.
Wolfgang Schief, Adam Szereszewski
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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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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.
E. Ferapontov
semanticscholar +5 more sources
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
Kichoon Yang
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Projective differential geometry [PDF]
Bulletin of the American Mathematical Society, 1906 E. J. Wilczynski
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Note on the projective differential geometry of space curves
Annali Di Matematica Pura Ed Applicata, 1939 Te-Chih Fon
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