Structure of fundamental groups of manifolds with Ricci curvature bounded below

By V. Kapovitch, Burkhard Wilking. 2011

96 citations recorded by the source corpus.

Verifying a conjecture of Gromov we establish a generalized Margulis Lemma for manifolds with lower Ricci curvature bound. Among the various applications are finiteness results for fundamental groups of compact $n$-manifolds with upper diameter and lower Ricci curvature bound modulo nilpotent normal subgroups.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/53ad835a856ebc64cce5ed43bf1e6f36577f9862

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In Applied Mathematics

1. Ben Joseph Green
2. Emmanuel Breuillard
3. Terence Tao
4. Sanghyuk Lee
5. D. Tataru
6. Zihua Guo
7. Carlos E. Kenig
8. Jonathan Bennett

In Astronomy and Astrophysics

1. Emmanuel Breuillard
2. Terence Tao

In Geometry and Topology

1. Terence Tao
2. Ben Joseph Green
3. Emmanuel Breuillard
4. Nikos Frantzikinakis
5. Tom Sanders
6. B. Host
7. William T. Gowers
8. Ulrich Kohlenbach

Citations in the corpus

• The structure of approximate groups (2011, result): “This result is known to differential geometers and follows from the works of Cheeger-Colding [10] and Kapovitch and Wilking [35].”