Results 11 to 20 of about 438,132 (304)

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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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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Projective differential geometry of curved surfaces. II [PDF]

Transactions of the American Mathematical Society, 1908
The theory of surfaces, as developed by the author in the preceding three memoirs, was based upon the assumption that the surface considered was referred to its asymptotic curves. The complete system of invariants and covariallts was set up on that hypothesis.
E. J. Wilczynski
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Key developments in geometry in the 19th Century [PDF]

arXiv, 2013
This paper describes several key discoveries in the 19th century that led to the modern theory of manifolds in the twentieth century: intrinsic differential geometry, projective geometry and higher dimensional manifolds and Riemannian geometry.
Wells Jr, Raymond O.
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Projective Geometry and PDE Prolongation [PDF]

arXiv
In this dissertation we study basic local differential geometry, projective differential geometry, and prolongations of overdetermined geometric partial differential equations. It is simple to prolong an n-th order linear ordinary differential equation into n first order equations. For partial differential equations there is a related process but it is
McNaughton, Jake
arxiv   +2 more sources

Book Review: Projective Differential Geometry of Curves and Ruled Surfaces [PDF]

Bulletin of the American Mathematical Society, 1907
Virgil Snyder
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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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Differential invariants on symplectic spinors in contact projective geometry [PDF]

Journal of Mathematical Physics, 2017
We present a complete classification and the construction of Mp(2n+2,R)-equivariant differential operators acting on the principal series representations, associated with the contact projective geometry on RP2n+1 and induced from the irreducible Mp(2n,R)-submodules of the Segal–Shale–Weil representation twisted by a one-parameter family of characters ...
Libor Křižka, Petr Somberg
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Projective differential geometry [PDF]

Bulletin of the American Mathematical Society, 1910
E. J. Wilczyński
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Abstract flat projective differential geometry [PDF]

Acta Mathematica, 1940
A. D. Michal, A. B. Mewborn
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