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
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Abstract flat projective differential geometry [PDF]
Acta Mathematica, 1940 A. D. Michal, A. B. Mewborn
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Conformally invariant differential equations and projective geometry
Journal of Functional Analysis, 1981 AbstractWe combine harmonic analysis on certain pseudo-Riemannian symmetric spaces with results on conformally invariant linear and non-linear differential equations. This gives in many cases part of the decomposition of certain representations of the conformal group of a manifold when restricted to the isometry group.
Bent Ørsted
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Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry [PDF]
, 1998 It is demonstrated that the stationary Veselov-Novikov (VN) and the stationary modified Veselov-Novikov (mVN) equations describe one and the same class of surfaces in projective differential geometry: the so-called isothermally asymptotic surfaces ...
Ferapontov, E. V.
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Projective differential geometry of multidimensional dispersionless integrable hierarchies [PDF]
Journal of Physics: Conference Series, 2014 10 pages, the text of the talk at PMNP2013 (Gallipoli, Italy, 22-29 June 2013)
L. V. Bogdanov, KONOPELCHENKO, Boris
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On the theory of curved surfaces, and canonical systems in projective differential geometry [PDF]
, 1915 In a series of five memoirs,t Wilezynski has developed a projective theory of curved surfaces, employing in his study a method which is peculiarly his own.
G. M. Green
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Recent developments in projective differential geometry [PDF]
Bulletin of the American Mathematical Society, 1928 E. B. Stouffer, Ernest P. Lane
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The Projective Differential Geometry of Systems of Linear Homogeneous Differential Equations of the First Order [PDF]
, 1928 The tedious calculations that occasionally occur in studying projective differential geometry by means of the invariants and covariants of a completely integrable system of linear homogeneous differential equations are admittedly an unpleasant feature of
Ernest P. Lane
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