On fundamental groups of manifolds of nonnegative curvature

By Burkhard Wilking. 2000

67 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Pathology and Forensic Medicine

View Paper: https://www.semanticscholar.org/paper/c30889330cd76307f074a6cafa758f2710a56f3a

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. W. Wylie
2. Guofang Wei
3. Burkhard Wilking
4. Wilderich Tuschmann
5. Lorenz Schwachhöfer
6. Huaihuo Cao
7. W. Ziller
8. Michele Rimoldi

In Geometry and Topology

1. W. Wylie
2. Guofang Wei
3. Burkhard Wilking
4. Wilderich Tuschmann
5. Lorenz Schwachhöfer
6. Huaihuo Cao
7. W. Ziller
8. Peter Petersen

In Pathology and Forensic Medicine

1. W. Wylie
2. Wilderich Tuschmann
3. Lorenz Schwachhöfer
4. Guofang Wei

Citations in the corpus

• Metrics of positive Ricci curvature on quotient spaces (2003, background): “... only obstructions to the existence of a metric with positive Ricci curvature come from the obstructions to the existence of metrics with positive scalar curvature ([Li], [Hi], [Ro], [SchY1], [SchY2], [GrL1], [GrL2], [Wt]), the Bonnet-Myers theorem which implies that the fundamental group of a cl”
• A warped product version of the Cheeger-Gromoll splitting theorem (2015, methodology): “By [Wil00, Theorem 2.1] π 1 ( M ) is then the fundamental group of a compact manifold of non-negative sectional curvature.”
• Comparison geometry for the Bakry-Emery Ricci tensor (2007, background): “Moreover, the work of the first author and Wilking shows that any finitely generated almost nilpotent group is the fundamental group of a manifold with Ric ≥ 0 [37, 38].”
• Nonnegatively and Positively curved manifolds (2007, background): “Theorem 4.8 (Verdiani, Grove, Wilking, Ziller).”