scholarly journals Modern Geometry–Methods and Applications, Part I. The Geometry of Surfaces, Transformation Groups, and Fields; Part II. The Geometry and Topology of Manifolds; Part III. Introduction to Homology Thoery. By B. A. Dubrovin, A. T. Fomenko and S. P. Novikov, Springer, 1991, 468 pp., 430 pp., 416 pp.

1994 ◽  
Vol 103 (2) ◽  
pp. 260
Author(s):  
G.-C. Rota
Keyword(s):  
Transformation Groups ◽  
And Topology ◽  
Topology Of Manifolds

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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