Note on the projective differential geometry of space curves [PDF]
Te-Chih Fon
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Conformally invariant differential equations and projective geometry
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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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
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 ...
E. V. Ferapontov
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Projective differential geometry of multidimensional dispersionless integrable hierarchies [PDF]
10 pages, the text of the talk at PMNP2013 (Gallipoli, Italy, 22-29 June 2013)
L. V. Bogdanov, KONOPELCHENKO, Boris
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Some formulae arising in projective-differential geometry [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE PARIS, ALESSANDRO, ILARDI, GIOVANNA
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On the theory of curved surfaces, and canonical systems in projective differential geometry [PDF]
G. M. Green
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Recent developments in projective differential geometry [PDF]
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]
Ernest P. Lane
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Some canonical forms and associated canonical expansions in projective differential geometry [PDF]
E. B. Stouffer
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Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system [PDF]
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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