Projective differential geometry of developable surfaces [PDF]
Transactions of the American Mathematical Society, 1913 Reprinted from the Transactions of the American Mathematical Society, v. 14. ; Vita. ; Thesis (Ph.D.)--University of Illinois, 1912. ; Mode of access: Internet.
William Wells Denton
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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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Abstract flat projective differential geometry [PDF]
Acta Mathematica, 1940 A. D. Michal, A. B. Mewborn
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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, Adam Szereszewski
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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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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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General Projective Differential Geometry [PDF]
Proceedings of the National Academy of Sciences, 1937 tion of the feathers in the different tracts clearly shows the importance of position in feather tract characterization at the stage of operation. This is further emphasized by the fact that the skin ectoderm implant came in all cases from the head where
A. D. Michal
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Differential Chow Form for Projective Differential Variety [PDF]
arXiv, 2011 In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d>0 and order h with a generic projective differential ...
Gao, Xiao-Shan, Li, Wei
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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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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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