"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL"
"The equator map and the negative exponential functional","Minchun, Hong","71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL MANIFOLDS; TOPOLOGICAL MAPPING; EUCLIDEAN SPACE; FUNCTIONALS; RIEMANN SPACE; 661000; GENERAL PHYSICS","","We define a negative exponential harmonic map from the ball B{sup n} of R{sup n} into the sphere S{sup n} of R{sup n+1}. And we prove that the equator map u{sup *} = (x/x, 0) is a negative exponential harmonic map, but not stable for the negative exponential functional when n{>=}2. Moreover, if we consider maps from a ball B{sup n} into the unit sphere S{sup m} of R{sup m} where m{>=}2, we prove that no nonconstant map can reach either the minimum or the maximum of the negative exponential functional. (author). 19 refs.","","OSTI; NTIS (US Sales Only); INIS","International Centre for Theoretical Physics (ICTP), Trieste (Italy)","","IAEA","1991-06-01","English","Technical Report","","Other Information: PBD: Jun 1991","","Medium: X; Size: 15 p.","ON: DE92609036","IC-91/141","","Other: ON: DE92609036; TRN: XA9129662081528","","","2008-02-12","10105502",""