Noncollapsing examples with positive Ricci curvature and infinite topological type

By X. Menguy. 2000

77 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/270c99137c2cb180b5ec340d91458984f632b88e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Zoltán M. Balogh
2. Alexandru Krist'aly
3. C. Sormani
4. Mattia Fogagnolo
5. L. Mazzieri
6. Virginia Agostiniani
7. S. Wenger
8. U. Lang

In Astronomy and Astrophysics

1. Zoltán M. Balogh
2. Alexandru Krist'aly
3. L. Mazzieri
4. Virginia Agostiniani
5. Mattia Fogagnolo
6. S. Wenger
7. C. Sormani
8. M. Rigoli

In Geometry and Topology

1. C. Sormani
2. L. Mazzieri
3. Zoltán M. Balogh
4. Virginia Agostiniani
5. Mattia Fogagnolo
6. Alexandru Krist'aly
7. S. Wenger
8. U. Lang

Citations in the corpus

• Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature (2018, background): “However, Menguy provided in [58] examples of manifolds of dimension n ≥ 4 with Ric ≥ 0 and AVR(g) > 0 with infinite topological type.”
• The Intrinsic Flat Distance between Riemannian Manifolds and other Integral Current Spaces (2010, background): “In fact Menguy proved the limit space could have infinite topological type [26].”
• Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature (2020, background): “Anderson [3], Cheeger and Colding [15], Colding [17], Li [41], Liu [40], Menguy [44], Perelman [53], Reiris [55], Zhu [65].”