Gromov's compactness theorem

Gromov's compactness theorem

Gromov's compactness theorem can refer to either of two mathematical theorems:

* Gromov's compactness theorem (geometry) in Riemannian geometry
* Gromov's compactness theorem (topology) in symplectic topology


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Gromov's compactness theorem (topology) — For Gromov s compactness theorem in Riemannian geometry, see that article. In symplectic topology, Gromov s compactness theorem states that a sequence of pseudoholomorphic curves in an almost complex manifold with a uniform energy bound must have …   Wikipedia

  • Gromov's compactness theorem (geometry) — For Gromov s compactness theorem in symplectic topology, see that article. In Riemannian geometry, Gromov s (pre)compactness theorem states that the set of Riemannian manifolds of a given dimension, with Ricci curvature ≥ c and diameter ≤ D is… …   Wikipedia

  • Compactness theorem — In mathematical logic, the compactness theorem states that a set of first order sentences has a model if and only if every finite subset of it has a model. This theorem is an important tool in model theory, as it provides a useful method for… …   Wikipedia

  • 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 s Betti… …   Wikipedia

  • Gromov–Hausdorff convergence — Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization of Hausdorff convergence. Gromov–Hausdorff distanceGromov–Hausdorff distance measures how far two …   Wikipedia

  • Mikhail Leonidovich Gromov — For other people of the same name, see Gromov. Mikhail Leonidovich Gromov Mikhail Gromov Born …   Wikipedia

  • Bishop–Gromov inequality — In mathematics, the Bishop–Gromov inequality is a classical theorem in Riemannian geometry, named after Richard L. Bishop and Mikhail Gromov. It is the key point in the proof of Gromov s compactness theorem.tatementLet us denote by S^m k a… …   Wikipedia

  • List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… …   Wikipedia

  • List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

  • List of Russian mathematicians — Andrey Kolmogorov, a preeminent 20th century mathematician. This list of Russian mathematicians includes the famous mathematicians from the Russian Empire, the Soviet Union and the Russian Federation. This list is incomplete; you can help by …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”