Matches in SemOpenAlex for { <https://semopenalex.org/work/W117602362> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W117602362 abstract "Publisher Summary This chapter discusses the problem of Riemannian geometry that arises out of an earlier paper on possible laws of orientation of galaxies in the standard cosmological model of General Relativity. The earlier paper is concerned with a 3-space C3 of constant curvature k = 1, − 1, or 0 and with the construction of fields of vectors that might correspond to axes of galaxies represented by points of C3. Each such vector field was assumed to be generated by one of the simply transitive groups of motions of C3 and so was in a sense homogeneous; it also turned out to be symmetric, i.e. to have rotational symmetry about each vector of the field. The chapter discusses local symmetry of the first- and second-order for a vector field v in a Riemannian space Vn and find the conditions to be satisfied by v. It shows that the existence of such a vector field restricts Vn, and that the case n = 3 is special. For n > 3, there is a simple canonical form for the metric of Vn, but when n = 3, the position is more complicated. The existence of a locally symmetric vector field in V3 certainly restricts the space but not to such an extent that it must have constant curvature. However, when it has constant curvature, one gets the vector fields considered in the The orientation of the extra-galactic nebulae, Monthly Notices Roy. Astronom. Soc. by A. G. Walker together with a new vector field when the curvature is negative." @default.
- W117602362 created "2016-06-24" @default.
- W117602362 creator A5042737420 @default.
- W117602362 date "1976-01-01" @default.
- W117602362 modified "2023-09-27" @default.
- W117602362 title "Note on Locally Symmetric Vector Fields in a Riemannian Space" @default.
- W117602362 doi "https://doi.org/10.1016/b978-0-12-602850-8.50015-7" @default.
- W117602362 hasPublicationYear "1976" @default.
- W117602362 type Work @default.
- W117602362 sameAs 117602362 @default.
- W117602362 citedByCount "3" @default.
- W117602362 crossrefType "book-chapter" @default.
- W117602362 hasAuthorship W117602362A5042737420 @default.
- W117602362 hasConcept C121332964 @default.
- W117602362 hasConcept C139941754 @default.
- W117602362 hasConcept C195065555 @default.
- W117602362 hasConcept C202444582 @default.
- W117602362 hasConcept C2524010 @default.
- W117602362 hasConcept C2779668893 @default.
- W117602362 hasConcept C2779886137 @default.
- W117602362 hasConcept C33923547 @default.
- W117602362 hasConcept C37914503 @default.
- W117602362 hasConcept C42519931 @default.
- W117602362 hasConcept C91188154 @default.
- W117602362 hasConcept C96469262 @default.
- W117602362 hasConcept C9652623 @default.
- W117602362 hasConceptScore W117602362C121332964 @default.
- W117602362 hasConceptScore W117602362C139941754 @default.
- W117602362 hasConceptScore W117602362C195065555 @default.
- W117602362 hasConceptScore W117602362C202444582 @default.
- W117602362 hasConceptScore W117602362C2524010 @default.
- W117602362 hasConceptScore W117602362C2779668893 @default.
- W117602362 hasConceptScore W117602362C2779886137 @default.
- W117602362 hasConceptScore W117602362C33923547 @default.
- W117602362 hasConceptScore W117602362C37914503 @default.
- W117602362 hasConceptScore W117602362C42519931 @default.
- W117602362 hasConceptScore W117602362C91188154 @default.
- W117602362 hasConceptScore W117602362C96469262 @default.
- W117602362 hasConceptScore W117602362C9652623 @default.
- W117602362 hasLocation W1176023621 @default.
- W117602362 hasOpenAccess W117602362 @default.
- W117602362 hasPrimaryLocation W1176023621 @default.
- W117602362 hasRelatedWork W1541770465 @default.
- W117602362 hasRelatedWork W1599065080 @default.
- W117602362 hasRelatedWork W161371445 @default.
- W117602362 hasRelatedWork W1674854713 @default.
- W117602362 hasRelatedWork W1853063365 @default.
- W117602362 hasRelatedWork W1973872334 @default.
- W117602362 hasRelatedWork W1977056632 @default.
- W117602362 hasRelatedWork W199549241 @default.
- W117602362 hasRelatedWork W200538703 @default.
- W117602362 hasRelatedWork W2013165157 @default.
- W117602362 hasRelatedWork W2086563939 @default.
- W117602362 hasRelatedWork W2089584631 @default.
- W117602362 hasRelatedWork W2107812073 @default.
- W117602362 hasRelatedWork W2108819385 @default.
- W117602362 hasRelatedWork W2752001431 @default.
- W117602362 hasRelatedWork W2904958059 @default.
- W117602362 hasRelatedWork W2963783146 @default.
- W117602362 hasRelatedWork W613321986 @default.
- W117602362 hasRelatedWork W89533698 @default.
- W117602362 isParatext "false" @default.
- W117602362 isRetracted "false" @default.
- W117602362 magId "117602362" @default.
- W117602362 workType "book-chapter" @default.