scholarly journals Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study

2018 ◽  
Vol 28 (4) ◽  
pp. 565-581
Author(s):  
S.P. Kuznetsov
Keyword(s):  
Numerical Study ◽  
Geodesic Flows ◽  
Curved Manifolds ◽  
Coupled Rotators

Regularity at infinity of compact negatively curved manifolds

1994 ◽  
Vol 14 (3) ◽  
pp. 493-514
Author(s):  
Ursula Hamenstädt
Keyword(s):  
Tangent Bundle ◽  
Compact Manifold ◽  
Negative Curvature ◽  
Periodic Points ◽  
Geodesic Flows ◽  
Stable Foliation ◽  
Curved Manifolds ◽  
Negatively Curved ◽  
Unit Tangent Bundle ◽  
Measure Class

AbstractIt is shown that three different notions of regularity for the stable foliation on the unit tangent bundle of a compact manifold of negative curvature are equivalent. Moreover if is a time-preserving conjugacy of geodesic flows of such manifolds M, N then the Lyapunov exponents at corresponding periodic points of the flows coincide. In particular Δ also preserves the Lebesgue measure class.

scholarly journals Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations

1988 ◽  
Vol 8 (2) ◽  
pp. 215-239 ◽  
Author(s):  
Masahiko Kanai
Keyword(s):  
Riemannian Manifold ◽  
Sectional Curvature ◽  
Riemannian Manifolds ◽  
Geodesic Flow ◽  
Negative Curvature ◽  
Geodesic Flows ◽  
Constant Negative Curvature ◽  
Curved Manifolds ◽  
Negatively Curved ◽  
Closed Riemannian Manifold

AbstractWe are concerned with closed C∞ riemannian manifolds of negative curvature whose geodesic flows have C∞ stable and unstable foliations. In particular, we show that the geodesic flow of such a manifold is isomorphic to that of a certain closed riemannian manifold of constant negative curvature if the dimension of the manifold is greater than two and if the sectional curvature lies between − and −1 strictly.

Geodesic Flows on Negatively Curved Manifolds I

1972 ◽  
Vol 95 (3) ◽  
pp. 492 ◽  
Author(s):  
Patrick Eberlein
Keyword(s):  
Geodesic Flows ◽  
Curved Manifolds ◽  
Negatively Curved

Numerical study on the flow distribution uniformity in angled and curved manifolds

2017 ◽  
Vol 24 (4) ◽  
pp. 1891-1898 ◽  
Author(s):  
Farzane Najari Sohzabi ◽  
Elham Omidbakhsh Amiri
Keyword(s):  
Numerical Study ◽  
Flow Distribution ◽  
Curved Manifolds ◽  
Distribution Uniformity
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