11 citations · 23 across the 5 of their papers we have counts for
5 papers
Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds
Victor V. Batyrev, Elena N. Selivanova
Let be a complex toric Fano -fold and the normalizer of a maximal torus in the group of biholomorphic authomorphisms . We call {\em symmetric}…
Regular minimal nets on surfaces of constant negative curvature
A. Vdovina, E. Selivanova
An embedded cubic graph consisting of segments of geodesics such that the angles at any vertex are equal to is a closed local minimal net. This net is regular if all segment…
On the case of Kovalevskaya and new examples of integrable conservative systems on S^2
K. P. Hadeler, E. N. Selivanova
There are new integrable cases due to the construction from the previous version.
New families of conservative systems on possessing an integral of fourth degree in momenta
Elena N. Selivanova
There is a well-known example of integrable conservative system on , the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momen…
New examples of conservative systems on S^2 possessing an integral cubic in momenta
Elena N. Selivanova
It has been proved that on 2-dimensional orientable compact manifolds of genus there is no integrable geodesic flow with an integral polynomial in momenta. There is a conject…