3 papers
math.AP2026
On the Hersch-Weinberger inequality in higher dimensions
T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh +1
We investigate a reverse Faber-Krahn type inequality for the Robin Laplacian in a bounded smooth domain whose boundary has two connected components. We pro…
math.DS2026
On components of stable connectivity of gradient-like diffeomorphisms of the 2-torus
D. A. Baranov, E. V. Nozdrinova, O. V. Pochinka
Gradient-like diffeomorphisms of a closed surface are characterized by a finite hyperbolic limit set and the absence of intersections of invariant manifolds of distinct saddl…
math.DS2025
Topology of 4-manifolds that admit non-singular flows with saddle orbits of the same index
V. Galkin, O. Pochinka
This paper studies regular topological flows defined on closed {topological} manifolds . The chain recurrent set of such a flow consists of a finite number of topologica…