An analogue of Bäcklund's theorem in affine geometry

From MaRDI portal
Publication:1258092

DOI10.1216/RMJ-1980-10-1-105zbMath0407.53002OpenAlexW1989579013WikidataQ101552242 ScholiaQ101552242MaRDI QIDQ1258092

Shiing-shen Chern, Chun-Lian Terng

Publication date: 1980

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1980-10-1-105




Related Items (37)

THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACESMoving frames and prolongation algebrasSome affine version of the Bäcklund theoremTimelike \(W\)-surfaces in Minkowski 3-space \(\mathbb{R}_1^3\) and the sinh-Gordon equationBäcklund's theorem for \(n\)-dimensional Lorentzian submanifold in the Minkowski space \(\mathbb E_1^{2n-1}\)Solitons and isometric immersionsON TWO-DIMENSIONAL MANIFOLDS WITH CONSTANT GAUSSIAN CURVATURE AND THEIR ASSOCIATED EQUATIONSBäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)Parametric Bäcklund transformations I: PhenomenologyPseudospherical Surfaces and Evolution EquationsW--line congruencesSpacelike Weingarten surfaces in \(R_1^3\) and the sine-Gordon equationBäcklund transformation for non-lightlike curves in Minkowski 3-spaceRank 2 Bäcklund transformations of hyperbolic Monge-Ampère systemsOn formal integrability of evolution equations and local geometry of surfacesOn the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equationsRecursion Formulae for Obtaining Surfaces with Constant Mean Curvature in R 2,1Caustics of pseudo-spherical surfaces in the Euclidean 3-spaceOn a theorem of Chern and Terng on affine surfacesInfinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equationConservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfacesOn the Solution of the Generalized Wave and Generalized Sine-Gordon EquationsThe Bäcklund's theorem in Minkowski 3-space \(R^{3}_{1}\)Initial value problems of the sine-Gordon equation and geometric solutionsIsometric immersions of pseudo-Riemannian space formsEigenvalue equations in curve theory. I: Characterizations of conic sectionsTime-like linear Weingarten surfaces in Lorentzian space formsTravelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfacesDynamical systems that admit normal displacementA characterization of hyperbolic affine flat, affine minimal surfaces in \(\mathbb{A}^3\)Darboux transformations on timelike constant mean curvature surfacesGeometry of Bäcklund transformations I: generalityA new interpretation of the Bäcklund transformation of the sine-Gordon equationNonlinear sigma model for the Dodd-Bullough equationA geometric interpretation of prolongation by means of connectionsBäcklund theorems in three-dimensional de Sitter space and anti-de Sitter spaceIntegrable motions of space curves in affine geometry






This page was built for publication: An analogue of Bäcklund's theorem in affine geometry