Geometry and Topology of Manifolds

2020 ◽  
Author(s):  
Vicente Muñoz ◽  
Ángel González-Prieto ◽  
Juan Rojo
Keyword(s):  
And Topology ◽  
Topology Of Manifolds

scholarly journals On a theorem of Ambrose

2006 ◽  
Vol 81 (2) ◽  
pp. 149-152 ◽  
Author(s):  
David J. Wraith
Keyword(s):  
Ricci Curvature ◽  
Alternative Proof ◽  
And Topology ◽  
Riccati Inequality ◽  
Topology Of Manifolds

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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