Geometry and Topology of Manifolds

10.4064/bc76 ◽  
2007 ◽  
2020 ◽  
Author(s):  
Vicente Muñoz ◽  
Ángel González-Prieto ◽  
Juan Rojo

2006 ◽  
Vol 81 (2) ◽  
pp. 149-152 ◽  
Author(s):  
David J. Wraith

AbstractA Riccati inequality involving the Ricci curvature can be used to deduce many interesting results about the geometry and topology of manifolds. In this note we use it to present a short alternative proof to a theorem of Ambrose.


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