2 citations · 3 across the 5 of their papers we have counts for
5 papers
Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential
Petr E. Pushkar
Main subject of the paper is a (strong) Morse function on a compact manifold with boundary. We construct a cellular structure and discuss its algebraic properties in this paper. Al…
Chekanov-type theorem for spherized cotangent bundles
Petr E. Pushkar
We prove a Chekanov-type theorem for the spherization of the cotangent bundle of a closed manifold . It claims that for Legendrian submanifolds in the property "…
On Hamiltonian and contact isotopy liftings
Petr E. Pushkar
We construct counterexamples to lifting properties of Hamiltonian and contact isotopies.
On the minimal number of critical points of functions on h-cobordisms
P. E. Pushkar, Yu. B. Rudyak
Let (W,M,M'), dim W > 5, be a non-trivial h-cobordism (i.e., the Whitehead torsion of (W,V) is non-zero). We prove that every smooth function f: W --> [0,1], f(M)=0, f(M')=1 has at…
Generalization of the Chekanov theorem: diameters of immersed manifolds and wave fronts
Petr E. Pushkar
The Chekanov theorem generalizes the classic Lyusternik-Shnirel'man and Morse theorems concerning critical points of a smooth function on a closed manifold. A Legendrian submanifol…