Gromov's theorem may mean one of a number of results of Mikhail Gromov:
One of Gromov's compactness theorems: Gromov's compactness theorem (geometry) in Riemannian geometry Gromov's compactness theorem (topology) in symplectic topology
Gromov–Ruh theorem on almost flat manifolds Gromov's non-squeezing theorem in symplectic geometry Gromov's theorem on groups of polynomial growth
See also
Bishop–Gromov inequality Gromov–Thurston 2π theorem