34 citations · 84 across the 15 of their papers we have counts for
5 papers · 1 filter
Infinitesimal Darboux transformations of the spectral curves of tori in the four-space
P. G. Grinevich, I. A. Taimanov
We study the action of conformal transformations of the ambient space on the Dirac operator coming into the Weierstrass (or spinor) representation of a torus in the Euclidean four-…
Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional
Dmitry A. Berdinsky, Iskander A. Taimanov
We study the generalization of the Willmore functional for surfaces in the three-Heisenberg group. Its construction is based on the spectral theory of the Dirac operator coming to…
On some algebraic examples of Frobenius manifolds
A. E. Mironov, I. A. Taimanov
We construct some explicit quasihomogeneous algebraic solutions to the associativity (WDVV) equations by using analytical methods of the finite gap integration theory. These soluti…
Two-dimensional Dirac operator and surface theory
Iskander A. Taimanov
We give a survey on the Weierstrass representations of surfaces in three- and four-dimensional spaces, their applications to the theory of the Willmore functional and on related pr…
Orthogonal curvilinear coordinate systems corresponding to singular spectral curves
A. E. Mironov, I. A. Taimanov
We study the limiting case of the Krichever construction of orthogonal curvilinear coordinate systems when the spectral curve becomes singular. We show that the case when the curve…