Geodesic
Simultaneous unitarizability of SL n ℂ-valued maps, and constant mean curvature k-noid monodromy
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 5 (2006) no. 4, pp. 549-577

Voir la notice de l'article provenant de la source Numdam

We give necessary and sufficient local conditions for the simultaneous unitarizability of a set of analytic matrix maps from an analytic 1-manifold into SL n ℂ under conjugation by a single analytic matrix map.We apply this result to the monodromy arising from an integrable partial differential equation to construct a family of k-noids, genus-zero constant mean curvature surfaces with three or more ends in euclidean, spherical and hyperbolic 3-spaces.

Classification : 53C42, 53A35, 49Q10 
@article{ASNSP_2006_5_5_4_549_0,
     author = {Rossman, Wayne and Schmitt, Nicholas},
     title = {Simultaneous unitarizability of {SL}$_{\hbox{\textit {n}}}{\mathbb {C}}$-valued maps, and constant mean curvature $k$-noid monodromy},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {549--577},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 5},
     number = {4},
     year = {2006},
     zbl = {1150.53021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_4_549_0/}
}
TY  - JOUR
AU  - Rossman, Wayne
AU  - Schmitt, Nicholas
TI  - Simultaneous unitarizability of SL$_{\hbox{\textit {n}}}{\mathbb {C}}$-valued maps, and constant mean curvature $k$-noid monodromy
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2006
SP  - 549
EP  - 577
VL  - 5
IS  - 4
PB  - Scuola Normale Superiore, Pisa
UR  - http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_4_549_0/
LA  - en
ID  - ASNSP_2006_5_5_4_549_0
ER  - 
%0 Journal Article
%A Rossman, Wayne
%A Schmitt, Nicholas
%T Simultaneous unitarizability of SL$_{\hbox{\textit {n}}}{\mathbb {C}}$-valued maps, and constant mean curvature $k$-noid monodromy
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2006
%P 549-577
%V 5
%N 4
%I Scuola Normale Superiore, Pisa
%U http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_4_549_0/
%G en
%F ASNSP_2006_5_5_4_549_0
Rossman, Wayne; Schmitt, Nicholas. Simultaneous unitarizability of SL$_{\hbox{\textit {n}}}{\mathbb {C}}$-valued maps, and constant mean curvature $k$-noid monodromy. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 5 (2006) no. 4, pp. 549-577. http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_4_549_0/