5 papers
On perturbations of the spectrum of one-dimensional PT-symmetric periodic Schrodinger operator
P. G. Grinevich, I. A. Taimanov
For PT-symmetric periodic Schrodinger operator, which is a small perturbation of the zero potential, we calculate the spectrum and the divisor of zeroes of the Bloch function in th…
The Ozawa solution to the Davey--Stewartson II equations and surface theory
Yi C. Huang, Iskander A. Taimanov
We describe the Ozawa solution to the Davey--Stewartson II equation from the point of view of surface theory by presenting a soliton deformation of surfaces which is ruled by the O…
Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds
I. A. Taimanov
The connections between Euler's equations on central extensions of Lie algebras and Euler's equations on the original, extended algebras are described. A special infinite sequence…
Finite-zone PT-potentials
I. A. Taimanov
We give a description of finite-zone PT-potentials in terms of explicit theta functional formulas.
On the formality of nearly Kähler manifolds and of Joyce's examples in -holonomy
Manuel Amann, Iskander A. Taimanov
It is a prominent conjecture (relating Riemannian geometry and algebraic topology) that all simply-connected compact manifolds of special holonomy should be formal spaces, i.e., th…