Talant Talipov

activity

20242026

collaborators

3 papers

math.DG2026

Morse index of min-max stationary integral varifolds

Mitchell Gaudet, Talant Talipov

We prove an upper bound for the Morse index of min-max stationary integral varifolds realizing the $d$ -dimensional $p$ -width of a closed Riemannian manifold.

math.DG2025

Generic density of stationary geodesic nets that are not closed geodesics

Talant Talipov

We prove that for a Baire-generic Riemannian metric on a closed smooth manifold of dimension greater than or equal 3, the union of stationary geodesic nets that are not closed geod…

math.DG2024

Besicovitch-type inequality for closed geodesics on 2-dimensional spheres

Talant Talipov

We prove the existence of a constant $C > 0$ such that for any Riemannian metric $g$ on a 2-dimensional sphere $S^{2}$ , there exist two distinct closed geodesics with lengths $L_{1}$ …