36 citations · 185 across the 21 of their papers we have counts for
4 papers · 1 filter
Connection blocking in homogeneous spaces and nilmanifolds
Eugene Gutkin
Let be a connected Lie group acting locally simply transitively on a manifold . By connecting curves in we mean the orbits of one-parameter subgroups of . To block a…
Addendum to: Capillary floating and the billiard ball problem
Eugene Gutkin
We compare the results of our earlier paper on the floating in neutral equilibrium at arbitrary orientation in the sense of Finn-Young with the literature on its counterpart in the…
Capillary floating and the billiard ball problem
Eugene Gutkin
We establish a connection between capillary floating in neutral equilibrium and the billiard ball problem. This allows us to reduce the question of floating in neutral equilibrium…
The Curvatures of Regular Curves and Euclidean Invariants of their Derivatives
Eugene Gutkin
The well known formulas express the curvature and the torsion of a curve in in terms of euclidean invariants of its derivatives. We obtain expressions of this kind for all cu…