3 papers
math.SG2016
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 "…
math.SG2016
On Hamiltonian and contact isotopy liftings
Petr E. Pushkar
We construct counterexamples to lifting properties of Hamiltonian and contact isotopies.
math.GT2001
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…