Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952643531> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2952643531 abstract "In this paper nontrivial Killing vector fields of constant length and corresponding flows on smooth complete Riemannian manifolds are investigated. It is proved that such a flow on symmetric space is free or induced by a free isometric action of the circle $S^1$. The properties of the set of all points with finite (infinite) period for general isometric flow on Riemannian manifolds are described. It is shown that this flow is generated by an effective free isometric action of the group $S^1$ if there are no points of infinite or zero period. In the last case the set of periods is at most countable and naturally generates an invariant stratification with closed totally geodesic strata; the union of all regular orbits is open connected everywhere dense subset of complete measure. Examples of unit Killing vector fields generated by free but not free actions of $S^1$ on Riemannian manifolds close in some sense to symmetric spaces are constructed; among them are almost round odd-dimensional spheres, homogeneous (non simply connected) Riemannian manifolds of constant positive sectional curvature, locally Euclidean spaces, and unit vector bundles over Riemannian manifolds. Some curvature restrictions on Riemannian manifolds admitting nontrivial Killing vector fields of constant length are obtained. Some unsolved questions are formulated." @default.
- W2952643531 created "2019-06-27" @default.
- W2952643531 creator A5047975487 @default.
- W2952643531 creator A5062771689 @default.
- W2952643531 date "2006-05-15" @default.
- W2952643531 modified "2023-10-06" @default.
- W2952643531 title "Killing vector fields of constant length on Riemannian manifolds" @default.
- W2952643531 cites W1515640342 @default.
- W2952643531 cites W1523861612 @default.
- W2952643531 cites W1525341226 @default.
- W2952643531 cites W1572115049 @default.
- W2952643531 cites W1573443250 @default.
- W2952643531 cites W1664422108 @default.
- W2952643531 cites W1950330800 @default.
- W2952643531 cites W1965287949 @default.
- W2952643531 cites W1969888835 @default.
- W2952643531 cites W1969966871 @default.
- W2952643531 cites W1973578854 @default.
- W2952643531 cites W1976818088 @default.
- W2952643531 cites W1981065013 @default.
- W2952643531 cites W1984466067 @default.
- W2952643531 cites W1992690816 @default.
- W2952643531 cites W1994162076 @default.
- W2952643531 cites W2031497171 @default.
- W2952643531 cites W2034982650 @default.
- W2952643531 cites W2037904087 @default.
- W2952643531 cites W2038713820 @default.
- W2952643531 cites W2046176786 @default.
- W2952643531 cites W2068774711 @default.
- W2952643531 cites W2087640086 @default.
- W2952643531 cites W2098505942 @default.
- W2952643531 cites W2332873393 @default.
- W2952643531 cites W3129186208 @default.
- W2952643531 cites W8897170 @default.
- W2952643531 hasPublicationYear "2006" @default.
- W2952643531 type Work @default.
- W2952643531 sameAs 2952643531 @default.
- W2952643531 citedByCount "2" @default.
- W2952643531 countsByYear W29526435312013 @default.
- W2952643531 countsByYear W29526435312017 @default.
- W2952643531 crossrefType "posted-content" @default.
- W2952643531 hasAuthorship W2952643531A5047975487 @default.
- W2952643531 hasAuthorship W2952643531A5062771689 @default.
- W2952643531 hasConcept C12520029 @default.
- W2952643531 hasConcept C134306372 @default.
- W2952643531 hasConcept C165818556 @default.
- W2952643531 hasConcept C181104567 @default.
- W2952643531 hasConcept C195065555 @default.
- W2952643531 hasConcept C202444582 @default.
- W2952643531 hasConcept C203934109 @default.
- W2952643531 hasConcept C2524010 @default.
- W2952643531 hasConcept C2779593128 @default.
- W2952643531 hasConcept C2779668893 @default.
- W2952643531 hasConcept C33923547 @default.
- W2952643531 hasConcept C42448751 @default.
- W2952643531 hasConcept C42519931 @default.
- W2952643531 hasConcept C91188154 @default.
- W2952643531 hasConceptScore W2952643531C12520029 @default.
- W2952643531 hasConceptScore W2952643531C134306372 @default.
- W2952643531 hasConceptScore W2952643531C165818556 @default.
- W2952643531 hasConceptScore W2952643531C181104567 @default.
- W2952643531 hasConceptScore W2952643531C195065555 @default.
- W2952643531 hasConceptScore W2952643531C202444582 @default.
- W2952643531 hasConceptScore W2952643531C203934109 @default.
- W2952643531 hasConceptScore W2952643531C2524010 @default.
- W2952643531 hasConceptScore W2952643531C2779593128 @default.
- W2952643531 hasConceptScore W2952643531C2779668893 @default.
- W2952643531 hasConceptScore W2952643531C33923547 @default.
- W2952643531 hasConceptScore W2952643531C42448751 @default.
- W2952643531 hasConceptScore W2952643531C42519931 @default.
- W2952643531 hasConceptScore W2952643531C91188154 @default.
- W2952643531 hasLocation W29526435311 @default.
- W2952643531 hasOpenAccess W2952643531 @default.
- W2952643531 hasPrimaryLocation W29526435311 @default.
- W2952643531 hasRelatedWork W1967338233 @default.
- W2952643531 hasRelatedWork W1969541004 @default.
- W2952643531 hasRelatedWork W1979733939 @default.
- W2952643531 hasRelatedWork W1991152452 @default.
- W2952643531 hasRelatedWork W2001628903 @default.
- W2952643531 hasRelatedWork W2022385823 @default.
- W2952643531 hasRelatedWork W2022657096 @default.
- W2952643531 hasRelatedWork W2133347489 @default.
- W2952643531 hasRelatedWork W2140349497 @default.
- W2952643531 hasRelatedWork W2205835346 @default.
- W2952643531 hasRelatedWork W2726640737 @default.
- W2952643531 hasRelatedWork W2768072698 @default.
- W2952643531 hasRelatedWork W2947686104 @default.
- W2952643531 hasRelatedWork W2950657073 @default.
- W2952643531 hasRelatedWork W2963116978 @default.
- W2952643531 hasRelatedWork W2963984165 @default.
- W2952643531 hasRelatedWork W2964075994 @default.
- W2952643531 hasRelatedWork W3006123036 @default.
- W2952643531 hasRelatedWork W3011967740 @default.
- W2952643531 hasRelatedWork W3045713089 @default.
- W2952643531 isParatext "false" @default.
- W2952643531 isRetracted "false" @default.
- W2952643531 magId "2952643531" @default.
- W2952643531 workType "article" @default.