Projective differential geometry

Results 21 to 30 of about 545,751 (316)

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.
core +4 more sources

Some formulae arising in projective-differential geometry [PDF]

ANNALI DELL UNIVERSITA DI FERRARA, 2001
We set up a framework in which some projective-differential intuitive concepts can be very easily formalized. Then we prove some general formulas. Among them, two “inversion formulas” about deformations of families of nonreduced subschemes are particularly remarkable.
DE PARIS, ALESSANDRO, ILARDI, GIOVANNA
openaire +4 more sources

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 ...
Wells Jr, Raymond O.
core +1 more source

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.
McNaughton, Jake
core +1 more source

Recent developments in projective differential geometry [PDF]

Bulletin of the American Mathematical Society, 1928
E. B. Stouffer, Ernest P. Lane
openalex +3 more sources

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
openalex +5 more sources

Some canonical forms and associated canonical expansions in projective differential geometry [PDF]