Results 11 to 20 of about 114,860 (221)

Conformally invariant differential equations and projective geometry

open access: bronzeJournal 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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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY

open access: bronzeKyushu Journal of Mathematics, 2000
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]

open access: yesJournal 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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Some formulae arising in projective-differential geometry [PDF]

open access: yesANNALI DELL UNIVERSITA DI FERRARA, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE PARIS, ALESSANDRO, ILARDI, GIOVANNA
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Recent developments in projective differential geometry [PDF]

open access: goldBulletin of the American Mathematical Society, 1928
E. B. Stouffer, Ernest P. Lane
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Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system [PDF]

open access: bronzeProceedings 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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