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20112025
most citedPre-supernova feedback sets the star cluster mass function to a power law and reduces the cluster formation efficiency

36 citations

Showing math.DGShow all

5 papers · 1 filter

math.DG2016

Algebraic non-integrability of magnetic billiards

Michael, Bialy, Andrey E. Mironov

We consider billiard ball motion in a convex domain of the Euclidean plane bounded by a piece-wise smooth curve influenced by the constant magnetic field. We show that if there exi…

math.DG2016★ 4 cited

Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane

Michael, Bialy, Andrey E. Mironov

We consider a convex curve lying on the Sphere or Hyperbolic plane. We study the problem of existence of polynomial in velocities integrals for Birkhoff billiard inside the dom…

math.DG2014★ 5 cited

Integrable geodesic flows on 2-torus: formal solutions and variational principle

Michael, Bialy, Andrey E. Mironov

In this paper we study quasi-linear system of partial differential equations which describes the existence of the polynomial in momenta first integral of the integrable geodesic fl…

math.DG2013★ 1 cited

A remark on the number of invisible directions for a smooth Riemannian metric

Michael, Bialy

In this note we give a construction of a smooth Riemannian metric on R^n which is standard Euclidean outside a compact set K and such that it has N = n(n + 1)=2 invisible direction…

math.DG2011★ 3 cited

Cubic and Quartic integrals for geodesic flow on 2-torus via system of Hydrodynamic type

Michael, Bialy, Andrey Mironov

In this paper we deal with the classical question of existence of polynomial in momenta integrals for geodesic flows on the 2-torus. For the quasi-linear system on coefficients of…