2 papers
math.DG2025
Infinite-dimensional nonholonomic and vakonomic systems
Alexander G. Abanov, Boris Khesin
In this paper, we present a collection of infinite-dimensional systems with nonholonomic constraints. In finite dimensions the two essentially different types of dynamics, nonholon…
math.DG2025
Morse-Bott Volume Forms
Luke Volk, Boris Khesin
A Morse-Bott volume form on a manifold is a top-degree form which vanishes along a non-degenerate critical submanifold. We prove that two such forms are diffeomorphic (by a diffeom…