scholarly journals On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows

1994 ◽  
Vol 3 (3) ◽  
pp. 335-344 ◽  
Author(s):  
Marco Brunella
Keyword(s):  
Dehn Surgery ◽  
Geodesic Flows

scholarly journals Diversified homotopic behavior of closed orbits of some -covered Anosov flows

2014 ◽  
Vol 36 (3) ◽  
pp. 767-780
Author(s):  
SÉRGIO R. FENLEY
Keyword(s):  
Periodic Orbits ◽  
Closed Orbit ◽  
The Other ◽  
Dehn Surgery ◽  
Geodesic Flows ◽  
Closed Orbits ◽  
Anosov Flows

We produce infinitely many examples of Anosov flows in closed $3$-manifolds where the set of periodic orbits is partitioned into two infinite subsets. In one subset every closed orbit is freely homotopic to infinitely other closed orbits of the flow. In the other subset every closed orbit is freely homotopic to only one other closed orbit. The examples are obtained by Dehn surgery on geodesic flows. The manifolds are toroidal and have Seifert pieces and atoroidal pieces in their torus decompositions.

Discrete Geodesic Flows on Stiefel Manifolds

2020 ◽  
Vol 310 (1) ◽  
pp. 163-174
Author(s):  
Božidar Jovanović ◽  
Yuri N. Fedorov
Keyword(s):  
Geodesic Flows ◽  
Stiefel Manifolds

scholarly journals Kinematics of geodesic flows in stringy black hole backgrounds

2009 ◽  
Vol 79 (12) ◽  
Author(s):  
Anirvan Dasgupta ◽  
Hemwati Nandan ◽  
Sayan Kar
Keyword(s):  
Black Hole ◽  
Geodesic Flows

Dehn surgeries on some classical links

2011 ◽  
Vol 54 (1) ◽  
pp. 33-45 ◽  
Author(s):  
Alberto Cavicchioli ◽  
Fulvia Spaggiari ◽  
Agnese Ilaria Telloni
Keyword(s):  
Dehn Surgery ◽  
Fundamental Groups ◽  
Branched Coverings ◽  
Borromean Rings

AbstractWe consider orientable closed connected 3-manifolds obtained by performing Dehn surgery on the components of some classical links such as Borromean rings and twisted Whitehead links. We find geometric presentations of their fundamental groups and describe many of them as 2-fold branched coverings of the 3-sphere. Finally, we obtain some topological applications on the manifolds given by exceptional surgeries on hyperbolic 2-bridge knots.

Expansive geodesic flows on surfaces

1993 ◽  
Vol 13 (1) ◽  
pp. 153-165 ◽  
Author(s):  
Miguel Paternain
Keyword(s):  
Geodesic Flow ◽  
Compact Surface ◽  
Conjugate Points ◽  
Riemannian Surface ◽  
Geodesic Flows ◽  
Flows On Surfaces

AbstractWe prove the following result: if M is a compact Riemannian surface whose geodesic flow is expansive, then M has no conjugate points. This result and the techniques of E. Ghys imply that all expansive geodesic flows of a compact surface are topologically equivalent.

scholarly journals Differentiability of entropy for Anosov and geodesic flows

1990 ◽  
Vol 22 (2) ◽  
pp. 285-294 ◽  
Author(s):  
A. Katok ◽  
G. Knieper ◽  
M. Pollicott ◽  
H. Weiss
Keyword(s):  
Geodesic Flows
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