Pluriharmonic maps into outer symmetric spaces and a subdivision of Weyl chambers | Zendy

Eschenburg J.H. | Zendy; Mare A.L. | Zendy; Quast P. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Pluriharmonic maps into outer symmetric spaces and a subdivision of Weyl chambers

Author(s) -

Eschenburg J.H.,

Mare A.L.,

Quast P.

Publication year - 2010

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdq070

Subject(s) - mathematics , embedding , rank (graph theory) , manifold (fluid mechanics) , pure mathematics , symmetric space , subdivision , harmonic , mathematical analysis , combinatorics , physics , mechanical engineering , archaeology , artificial intelligence , computer science , engineering , history , quantum mechanics

Burstall and Guest have given a classification of harmonic maps of the 2‐sphere with values in Lie groups and inner symmetric spaces. We extend their result to outer symmetric spaces G/K, using the pointed Cartan embedding into G. We show that in this case the number of classes can be reduced from 2 r to 2 s where r = rank G and s = rank K. Moreover we replace the 2‐sphere by a simply connected compact Kähler manifold and ‘harmonic’ by ‘pluriharmonic’.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research