Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951291270> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2951291270 abstract "Let $M$ be a compact $C^{infty}$ Riemannian manifold. Given $p$ and $q$ in $M$ and $T>0$, define $n_{T}(p,q)$ as the number of geodesic segments joining $p$ and $q$ with length $leq T$. Mane showed that the exponential growth rate of the integral of $n_{T}(p,q)$ over $M times M$ is the topological entropy of the geodesic flow of $M$. In the present paper we exhibit an open set of metrics on the two-sphere for which the exponential growth rate of $n_{T}(p,q$ is less than the topological entropy of the geodesic flow for a positive measure set of $(p,q)in Mtimes M$. This answers in the negative questions raised by Mane." @default.
- W2951291270 created "2019-06-27" @default.
- W2951291270 creator A5023850630 @default.
- W2951291270 creator A5025386563 @default.
- W2951291270 date "1996-10-25" @default.
- W2951291270 modified "2023-09-27" @default.
- W2951291270 title "Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows" @default.
- W2951291270 cites W1550122305 @default.
- W2951291270 hasPublicationYear "1996" @default.
- W2951291270 type Work @default.
- W2951291270 sameAs 2951291270 @default.
- W2951291270 citedByCount "0" @default.
- W2951291270 crossrefType "posted-content" @default.
- W2951291270 hasAuthorship W2951291270A5023850630 @default.
- W2951291270 hasAuthorship W2951291270A5025386563 @default.
- W2951291270 hasConcept C102224218 @default.
- W2951291270 hasConcept C106301342 @default.
- W2951291270 hasConcept C114614502 @default.
- W2951291270 hasConcept C121332964 @default.
- W2951291270 hasConcept C12520029 @default.
- W2951291270 hasConcept C127413603 @default.
- W2951291270 hasConcept C134306372 @default.
- W2951291270 hasConcept C151376022 @default.
- W2951291270 hasConcept C162269530 @default.
- W2951291270 hasConcept C165818556 @default.
- W2951291270 hasConcept C195065555 @default.
- W2951291270 hasConcept C202444582 @default.
- W2951291270 hasConcept C2524010 @default.
- W2951291270 hasConcept C2779593128 @default.
- W2951291270 hasConcept C2780350623 @default.
- W2951291270 hasConcept C33923547 @default.
- W2951291270 hasConcept C42448751 @default.
- W2951291270 hasConcept C529865628 @default.
- W2951291270 hasConcept C62520636 @default.
- W2951291270 hasConcept C75235859 @default.
- W2951291270 hasConcept C78519656 @default.
- W2951291270 hasConceptScore W2951291270C102224218 @default.
- W2951291270 hasConceptScore W2951291270C106301342 @default.
- W2951291270 hasConceptScore W2951291270C114614502 @default.
- W2951291270 hasConceptScore W2951291270C121332964 @default.
- W2951291270 hasConceptScore W2951291270C12520029 @default.
- W2951291270 hasConceptScore W2951291270C127413603 @default.
- W2951291270 hasConceptScore W2951291270C134306372 @default.
- W2951291270 hasConceptScore W2951291270C151376022 @default.
- W2951291270 hasConceptScore W2951291270C162269530 @default.
- W2951291270 hasConceptScore W2951291270C165818556 @default.
- W2951291270 hasConceptScore W2951291270C195065555 @default.
- W2951291270 hasConceptScore W2951291270C202444582 @default.
- W2951291270 hasConceptScore W2951291270C2524010 @default.
- W2951291270 hasConceptScore W2951291270C2779593128 @default.
- W2951291270 hasConceptScore W2951291270C2780350623 @default.
- W2951291270 hasConceptScore W2951291270C33923547 @default.
- W2951291270 hasConceptScore W2951291270C42448751 @default.
- W2951291270 hasConceptScore W2951291270C529865628 @default.
- W2951291270 hasConceptScore W2951291270C62520636 @default.
- W2951291270 hasConceptScore W2951291270C75235859 @default.
- W2951291270 hasConceptScore W2951291270C78519656 @default.
- W2951291270 hasLocation W29512912701 @default.
- W2951291270 hasOpenAccess W2951291270 @default.
- W2951291270 hasPrimaryLocation W29512912701 @default.
- W2951291270 hasRelatedWork W1864160984 @default.
- W2951291270 hasRelatedWork W1878789798 @default.
- W2951291270 hasRelatedWork W1927034983 @default.
- W2951291270 hasRelatedWork W2036303766 @default.
- W2951291270 hasRelatedWork W2051229458 @default.
- W2951291270 hasRelatedWork W2059784709 @default.
- W2951291270 hasRelatedWork W206853833 @default.
- W2951291270 hasRelatedWork W2079427440 @default.
- W2951291270 hasRelatedWork W2101960916 @default.
- W2951291270 hasRelatedWork W2143329526 @default.
- W2951291270 hasRelatedWork W2244877019 @default.
- W2951291270 hasRelatedWork W2349059253 @default.
- W2951291270 hasRelatedWork W2778454753 @default.
- W2951291270 hasRelatedWork W2795603655 @default.
- W2951291270 hasRelatedWork W2950378709 @default.
- W2951291270 hasRelatedWork W2962812279 @default.
- W2951291270 hasRelatedWork W2995881643 @default.
- W2951291270 hasRelatedWork W3102383992 @default.
- W2951291270 hasRelatedWork W3105023327 @default.
- W2951291270 hasRelatedWork W3169636363 @default.
- W2951291270 isParatext "false" @default.
- W2951291270 isRetracted "false" @default.
- W2951291270 magId "2951291270" @default.
- W2951291270 workType "article" @default.