4 citations · 5 across the 8 of their papers we have counts for
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Surfaces in three-dimensional Lie groups
Dmitry A. Berdinsky, Iskander A. Taimanov
We derive the Weierstrass (or spinor) representation for surfaces in three-dimensional Lie groups Nil, \tilde{SL}_2, and Sol with Thurston's geometries and establish the generating…
Dirac operators and conformal invariants of tori in 3-space
I. A. Taimanov
We show how to assign to any immersed torus in or a Riemann surface such that the immersion is described by functions defined on this surface. We call this surface the…
Integrable geodesic flows on the suspensions of toric automorphisms
A. V. Bolsinov, I. A. Taimanov
For any toric automorphism with only real eigenvalues a Riemannian metric with an integrable geodesic flow on the suspension of this automorphism is constructed. A qualitative anal…
The Weierstrass representation of spheres in , the Willmore numbers, and soliton spheres
Iskander A. Taimanov
The Weierstrass representation for spheres in and, in particular, effective construction of immersions from data of spectral theory origin is discussed. These data are relat…