15 citations · 38 across the 8 of their papers we have counts for
8 papers
The X-ray transform on a general family of curves on Finsler surfaces
Yernat M. Assylbekov, Nurlan S. Dairbekov
We consider a general family of curves on a compact oriented Finsler surface with boundary . Let and a smooth 1-form on . We sho…
Hopf type rigidity for thermostats
Yernat M. Assylbekov, Nurlan S. Dairbekov
We show a Hopf type rigidity for thermostats without conjugate points on a 2-torus
On conformal Killing symmetric tensor fields on Riemannian manifolds
Nurlan S. Dairbekov, Vladimir A. Sharafutdinov
A vector field on a Riemannian manifold is called conformal Killing if it generates one-parameter group of conformal transformations. The class of conformal Killing symmetric tenso…
On the cohomological equation of magnetic flows
Nurlan S. Dairbekov, Gabriel P. Paternain
We consider a magnetic flow without conjugate points on a closed manifold with generating vector field $\G$. Let and let be a smooth 1-form on . We…
The boundary rigidity problem in the presence of a magnetic field
N. S. Dairbekov, G. P. Paternain, P. Stefanov +1
For a compact Riemannian manifold with boundary, endowed with a magnetic potential , we consider the problem of restoring the metric and the magnetic potential from the…
Entropy production in thermostats II
Nurlan S. Dairbekov, Gabriel P. Paternain
We show that an arbitrary Anosov Gaussian thermostat close to equilibrium has positive entropy poduction unless the external field has a global potential. The configuration spa…
Entropy production in Gaussian thermostats
N. S. Dairbekov, G. P. Paternain
We show that an arbitrary Anosov Gaussian thermostat on a surface is dissipative unless the external field has a global potential.
Rigidity properties of Anosov optical hypersurfaces
Nurlan S. Dairbekov, Gabriel P. Paternain
We consider an optical hypersurface in the cotangent bundle of a closed manifold endowed with a twisted symplectic structure. We show that if the characterist…