Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320556457> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4320556457 abstract "Abstract We investigate Gauss maps associated to great circle fibrations of the euclidean unit 3-sphere $$mathbb {S}^3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> . We show that the associated Gauss map to such a fibration is harmonic, respectively minimal, if and only if the unit vector field generating the great circle foliation is harmonic, respectively minimal. These results can be viewed as analogues of the classical theorem of Ruh and Vilms about the harmonicity of the Gauss map of a minimal submanifold in the euclidean space. Moreover, we prove that a harmonic or minimal unit vector field on $$mathbb {S}^3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> , whose integral curves are great circles, is a Hopf vector field." @default.
- W4320556457 created "2023-02-14" @default.
- W4320556457 creator A5028990034 @default.
- W4320556457 creator A5066499080 @default.
- W4320556457 creator A5090176775 @default.
- W4320556457 date "2023-02-13" @default.
- W4320556457 modified "2023-09-26" @default.
- W4320556457 title "Gauss maps of harmonic and minimal great circle fibrations" @default.
- W4320556457 cites W145286940 @default.
- W4320556457 cites W1516160405 @default.
- W4320556457 cites W1516474119 @default.
- W4320556457 cites W1601918485 @default.
- W4320556457 cites W1664933832 @default.
- W4320556457 cites W1968925834 @default.
- W4320556457 cites W1978405941 @default.
- W4320556457 cites W1979384109 @default.
- W4320556457 cites W1996744189 @default.
- W4320556457 cites W1997679827 @default.
- W4320556457 cites W2022496880 @default.
- W4320556457 cites W2030393258 @default.
- W4320556457 cites W2038079674 @default.
- W4320556457 cites W2045036968 @default.
- W4320556457 cites W2047750491 @default.
- W4320556457 cites W2058762528 @default.
- W4320556457 cites W2063559892 @default.
- W4320556457 cites W2069746143 @default.
- W4320556457 cites W2071861799 @default.
- W4320556457 cites W2075595991 @default.
- W4320556457 cites W2076194389 @default.
- W4320556457 cites W2077140242 @default.
- W4320556457 cites W2089992492 @default.
- W4320556457 cites W2103472729 @default.
- W4320556457 cites W2891222664 @default.
- W4320556457 cites W3102722613 @default.
- W4320556457 cites W3184658270 @default.
- W4320556457 cites W4206374124 @default.
- W4320556457 cites W4210675784 @default.
- W4320556457 cites W4238714898 @default.
- W4320556457 cites W4253596661 @default.
- W4320556457 cites W4308261643 @default.
- W4320556457 cites W4361200759 @default.
- W4320556457 doi "https://doi.org/10.1007/s10455-023-09886-0" @default.
- W4320556457 hasPublicationYear "2023" @default.
- W4320556457 type Work @default.
- W4320556457 citedByCount "1" @default.
- W4320556457 countsByYear W43205564572023 @default.
- W4320556457 crossrefType "journal-article" @default.
- W4320556457 hasAuthorship W4320556457A5028990034 @default.
- W4320556457 hasAuthorship W4320556457A5066499080 @default.
- W4320556457 hasAuthorship W4320556457A5090176775 @default.
- W4320556457 hasBestOaLocation W43205564571 @default.
- W4320556457 hasConcept C11413529 @default.
- W4320556457 hasConcept C134306372 @default.
- W4320556457 hasConcept C191948623 @default.
- W4320556457 hasConcept C202444582 @default.
- W4320556457 hasConcept C2776441312 @default.
- W4320556457 hasConcept C33923547 @default.
- W4320556457 hasConcept C6270764 @default.
- W4320556457 hasConcept C84316537 @default.
- W4320556457 hasConcept C9652623 @default.
- W4320556457 hasConceptScore W4320556457C11413529 @default.
- W4320556457 hasConceptScore W4320556457C134306372 @default.
- W4320556457 hasConceptScore W4320556457C191948623 @default.
- W4320556457 hasConceptScore W4320556457C202444582 @default.
- W4320556457 hasConceptScore W4320556457C2776441312 @default.
- W4320556457 hasConceptScore W4320556457C33923547 @default.
- W4320556457 hasConceptScore W4320556457C6270764 @default.
- W4320556457 hasConceptScore W4320556457C84316537 @default.
- W4320556457 hasConceptScore W4320556457C9652623 @default.
- W4320556457 hasFunder F4320331527 @default.
- W4320556457 hasIssue "2" @default.
- W4320556457 hasLocation W43205564571 @default.
- W4320556457 hasLocation W43205564572 @default.
- W4320556457 hasOpenAccess W4320556457 @default.
- W4320556457 hasPrimaryLocation W43205564571 @default.
- W4320556457 hasRelatedWork W140068792 @default.
- W4320556457 hasRelatedWork W1482902903 @default.
- W4320556457 hasRelatedWork W2099011297 @default.
- W4320556457 hasRelatedWork W2601360940 @default.
- W4320556457 hasRelatedWork W2940360017 @default.
- W4320556457 hasRelatedWork W2981325134 @default.
- W4320556457 hasRelatedWork W3110739311 @default.
- W4320556457 hasRelatedWork W4300059840 @default.
- W4320556457 hasRelatedWork W4320556457 @default.
- W4320556457 hasRelatedWork W4323274459 @default.
- W4320556457 hasVolume "63" @default.
- W4320556457 isParatext "false" @default.
- W4320556457 isRetracted "false" @default.
- W4320556457 workType "article" @default.