59 citations · 142 across the 20 of their papers we have counts for
24 papers
A canonical discrete analogue of the classical circular cross sections of ellipsoids and their isometric deformation
Boris Huang, Wolfgang K. Schief, Jan Techter
Based on a novel discretization procedure which has recently been proposed and applied in the construction of a canonical discrete analogue of confocal coordinate systems, an expli…
Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation
W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko
It is shown that a canonical geometric setting of the integrable TED equation is a Kahlerian tangent bundle of an affine manifold. The remarkable multi-dimensional consistency of t…
On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability
Dmitry K. Demskoi, Wolfgang K. Schief
It is shown that the kinematic equations governing steady motions of an ideal fibre-reinforced fluid in a curved stratum may be expressed entirely in terms of the intrinsic Gauss e…
On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure
Dmitry K. Demskoi, Wolfgang K. Schief
It is shown that the kinematic system describing planar non-steady motions of ideal fibre-reinforced fluids may be reduced to a single two-dimensional third-order partial different…
Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates
B. G. Konopelchenko, W. K. Schief, A. Szereszewski
Eigenfunctions are shown to constitute privileged coordinates of self-dual Einstein spaces with the underlying governing equation being revealed as the general heavenly equation. T…
On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
Arseniy V. Akopyan, Alexander I. Bobenko, Wolfgang K. Schief +1
Canonical parametrisations of classical confocal coordinate systems are introduced and exploited to construct non-planar analogues of incircular (IC) nets on individual quadrics an…