Matches in SemOpenAlex for { <https://semopenalex.org/work/W1615408050> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W1615408050 abstract "We study the relationship between the Lyapunov exponents of the geodesic flow of a closed negatively curved manifold and the geometry of the manifold. We show that if the derivative action of the geodesic flow on the unstable bundle has equal extremal Lyapunov exponents with respect to every invariant measure supported on a periodic orbit then the manifold is homothetic to a real hyperbolic manifold. Under the assumption that the manifold is homotopy equivalent to the appropriate locally symmetric space, we characterize the negatively curved locally symmetric spaces by the values of their Lyapunov exponents on their invariant measures supported on periodic orbits. We also show how, for real and complex hyperbolic space, the assumptions on the Lyapunov exponents of periodic orbits can be replaced with assumptions on the Lyapunov exponents of a single invariant Gibbs measure. The proofs use new results from hyperbolic dynamics including the nonlinear invariance principle of Avila and Viana and the approximation of Lyapunov exponents of invariant measures by Lyapunov exponents associated to periodic orbits which was developed by Kalinin in his proof of the Livsic theorem for matrix cocycles." @default.
- W1615408050 created "2016-06-24" @default.
- W1615408050 creator A5007223339 @default.
- W1615408050 date "2015-01-24" @default.
- W1615408050 modified "2023-09-27" @default.
- W1615408050 title "Lyapunov Exponent Rigidity for Geodesic Flows" @default.
- W1615408050 cites W1492194752 @default.
- W1615408050 cites W1550918041 @default.
- W1615408050 cites W1821004777 @default.
- W1615408050 cites W1970733363 @default.
- W1615408050 cites W1991261826 @default.
- W1615408050 cites W2013723323 @default.
- W1615408050 cites W2022794688 @default.
- W1615408050 cites W2058905242 @default.
- W1615408050 cites W2064013450 @default.
- W1615408050 cites W2101356217 @default.
- W1615408050 cites W2110740738 @default.
- W1615408050 cites W2157445685 @default.
- W1615408050 cites W2157842854 @default.
- W1615408050 cites W2314781788 @default.
- W1615408050 cites W2321316033 @default.
- W1615408050 cites W2963299807 @default.
- W1615408050 cites W572099154 @default.
- W1615408050 cites W638445310 @default.
- W1615408050 cites W91288600 @default.
- W1615408050 hasPublicationYear "2015" @default.
- W1615408050 type Work @default.
- W1615408050 sameAs 1615408050 @default.
- W1615408050 citedByCount "2" @default.
- W1615408050 countsByYear W16154080502015 @default.
- W1615408050 countsByYear W16154080502016 @default.
- W1615408050 crossrefType "posted-content" @default.
- W1615408050 hasAuthorship W1615408050A5007223339 @default.
- W1615408050 hasConcept C121332964 @default.
- W1615408050 hasConcept C127413603 @default.
- W1615408050 hasConcept C134306372 @default.
- W1615408050 hasConcept C158622935 @default.
- W1615408050 hasConcept C165818556 @default.
- W1615408050 hasConcept C190470478 @default.
- W1615408050 hasConcept C191544260 @default.
- W1615408050 hasConcept C202444582 @default.
- W1615408050 hasConcept C2524010 @default.
- W1615408050 hasConcept C25854792 @default.
- W1615408050 hasConcept C33923547 @default.
- W1615408050 hasConcept C37914503 @default.
- W1615408050 hasConcept C529865628 @default.
- W1615408050 hasConcept C60640748 @default.
- W1615408050 hasConcept C62520636 @default.
- W1615408050 hasConcept C78519656 @default.
- W1615408050 hasConcept C83677898 @default.
- W1615408050 hasConcept C91709909 @default.
- W1615408050 hasConceptScore W1615408050C121332964 @default.
- W1615408050 hasConceptScore W1615408050C127413603 @default.
- W1615408050 hasConceptScore W1615408050C134306372 @default.
- W1615408050 hasConceptScore W1615408050C158622935 @default.
- W1615408050 hasConceptScore W1615408050C165818556 @default.
- W1615408050 hasConceptScore W1615408050C190470478 @default.
- W1615408050 hasConceptScore W1615408050C191544260 @default.
- W1615408050 hasConceptScore W1615408050C202444582 @default.
- W1615408050 hasConceptScore W1615408050C2524010 @default.
- W1615408050 hasConceptScore W1615408050C25854792 @default.
- W1615408050 hasConceptScore W1615408050C33923547 @default.
- W1615408050 hasConceptScore W1615408050C37914503 @default.
- W1615408050 hasConceptScore W1615408050C529865628 @default.
- W1615408050 hasConceptScore W1615408050C60640748 @default.
- W1615408050 hasConceptScore W1615408050C62520636 @default.
- W1615408050 hasConceptScore W1615408050C78519656 @default.
- W1615408050 hasConceptScore W1615408050C83677898 @default.
- W1615408050 hasConceptScore W1615408050C91709909 @default.
- W1615408050 hasLocation W16154080501 @default.
- W1615408050 hasOpenAccess W1615408050 @default.
- W1615408050 hasPrimaryLocation W16154080501 @default.
- W1615408050 hasRelatedWork W1975043387 @default.
- W1615408050 hasRelatedWork W1997554356 @default.
- W1615408050 hasRelatedWork W2000983461 @default.
- W1615408050 hasRelatedWork W2035087672 @default.
- W1615408050 hasRelatedWork W2057295837 @default.
- W1615408050 hasRelatedWork W2074886971 @default.
- W1615408050 hasRelatedWork W2099976274 @default.
- W1615408050 hasRelatedWork W2264833532 @default.
- W1615408050 hasRelatedWork W2277549460 @default.
- W1615408050 hasRelatedWork W2339203863 @default.
- W1615408050 hasRelatedWork W2574117502 @default.
- W1615408050 hasRelatedWork W2756537464 @default.
- W1615408050 hasRelatedWork W2963100334 @default.
- W1615408050 hasRelatedWork W3098536855 @default.
- W1615408050 hasRelatedWork W3099631484 @default.
- W1615408050 hasRelatedWork W3100563472 @default.
- W1615408050 hasRelatedWork W3104734819 @default.
- W1615408050 hasRelatedWork W608244664 @default.
- W1615408050 hasRelatedWork W78719696 @default.
- W1615408050 isParatext "false" @default.
- W1615408050 isRetracted "false" @default.
- W1615408050 magId "1615408050" @default.
- W1615408050 workType "article" @default.