2 problems

0 votes0 replies1 view
Rudyak's Grossmann–Whitehead type inequality for closed manifolds with free fundamental group
Rudyak's conjecture. There should be a Grossmann–Whitehead type inequality
Conjectureopenclosed-manifolds fundamental-groups lusternik-schnirelmann-categoryarXiv posted 2 days ago
0 votes0 replies0 views
Gromov's conjecture on periodic geodesics of rationally hyperbolic manifolds
Let $M$ be a closed, rationally hyperbolic manifold, and let $n_T$ denote the number of geometrically distinct periodic geodesics of length at most $T$ . Gromov's conjecture. For a…
Conjectureopenclosed-manifolds geodesics rational-homotopy-theoryarXiv posted 2 days ago

Rudyak's Grossmann–Whitehead type inequality for closed manifolds with free fundamental group