Matches in SemOpenAlex for { <https://semopenalex.org/work/W862332> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W862332 endingPage "236" @default.
- W862332 startingPage "233" @default.
- W862332 abstract "Let f:M.rarw.N be a smooth map between Rioemannian manifolds M and N. If f maps geodesics of M to geodesics of N, f is called totally geodesic. As is well known, totally geodesic maps are harmonic and the image f(M) of a totally geodesic map f:M.rarw. N is an immersed totally geodesic submanifold of N (cf. .cint. 6.3 of [W]). We are interested in the following question: When is a harmonic map f:M .rarw. N with rank .leq. 1 everywhere on M totally geodesiculcorner In other words, when is the image of a harmonic map f:M .rarw. N with rank .leq. 1 everywhere on M geodesics of Nulcorner In this note, we give some sufficient conditions on curvatures of M. It is interesting that no curvature assumptions on target manifolds are necessary in Theorems 1 and 2. Some properties of totally geodesic maps are also given in Theorem 3. We think our Theorem 3 is somewhat unusual in view of the following classical theorem of Eells and Sampson (see pp.124 of [ES])." @default.
- W862332 created "2016-06-24" @default.
- W862332 creator A5000068860 @default.
- W862332 creator A5048533407 @default.
- W862332 date "1992-01-01" @default.
- W862332 modified "2023-09-27" @default.
- W862332 title "A note on totally geodesic maps" @default.
- W862332 hasPublicationYear "1992" @default.
- W862332 type Work @default.
- W862332 sameAs 862332 @default.
- W862332 citedByCount "0" @default.
- W862332 crossrefType "journal-article" @default.
- W862332 hasAuthorship W862332A5000068860 @default.
- W862332 hasAuthorship W862332A5048533407 @default.
- W862332 hasConcept C114614502 @default.
- W862332 hasConcept C115961682 @default.
- W862332 hasConcept C134306372 @default.
- W862332 hasConcept C151300846 @default.
- W862332 hasConcept C154945302 @default.
- W862332 hasConcept C162269530 @default.
- W862332 hasConcept C164226766 @default.
- W862332 hasConcept C165818556 @default.
- W862332 hasConcept C195065555 @default.
- W862332 hasConcept C202444582 @default.
- W862332 hasConcept C2524010 @default.
- W862332 hasConcept C33923547 @default.
- W862332 hasConcept C41008148 @default.
- W862332 hasConcept C6270764 @default.
- W862332 hasConceptScore W862332C114614502 @default.
- W862332 hasConceptScore W862332C115961682 @default.
- W862332 hasConceptScore W862332C134306372 @default.
- W862332 hasConceptScore W862332C151300846 @default.
- W862332 hasConceptScore W862332C154945302 @default.
- W862332 hasConceptScore W862332C162269530 @default.
- W862332 hasConceptScore W862332C164226766 @default.
- W862332 hasConceptScore W862332C165818556 @default.
- W862332 hasConceptScore W862332C195065555 @default.
- W862332 hasConceptScore W862332C202444582 @default.
- W862332 hasConceptScore W862332C2524010 @default.
- W862332 hasConceptScore W862332C33923547 @default.
- W862332 hasConceptScore W862332C41008148 @default.
- W862332 hasConceptScore W862332C6270764 @default.
- W862332 hasIssue "2" @default.
- W862332 hasLocation W8623321 @default.
- W862332 hasOpenAccess W862332 @default.
- W862332 hasPrimaryLocation W8623321 @default.
- W862332 hasRelatedWork W129952422 @default.
- W862332 hasRelatedWork W1543626816 @default.
- W862332 hasRelatedWork W1859525579 @default.
- W862332 hasRelatedWork W1981054042 @default.
- W862332 hasRelatedWork W2010389901 @default.
- W862332 hasRelatedWork W2012399948 @default.
- W862332 hasRelatedWork W2016795201 @default.
- W862332 hasRelatedWork W2091666011 @default.
- W862332 hasRelatedWork W2131197964 @default.
- W862332 hasRelatedWork W2261219521 @default.
- W862332 hasRelatedWork W2335787311 @default.
- W862332 hasRelatedWork W2374977187 @default.
- W862332 hasRelatedWork W2798558691 @default.
- W862332 hasRelatedWork W2950628751 @default.
- W862332 hasRelatedWork W2950811086 @default.
- W862332 hasRelatedWork W2952435882 @default.
- W862332 hasRelatedWork W2988490724 @default.
- W862332 hasRelatedWork W3047670535 @default.
- W862332 hasRelatedWork W3111774338 @default.
- W862332 hasRelatedWork W342802902 @default.
- W862332 hasVolume "29" @default.
- W862332 isParatext "false" @default.
- W862332 isRetracted "false" @default.
- W862332 magId "862332" @default.
- W862332 workType "article" @default.