Unitarization of monodromy representations and constant mean curvature trinoids in 3‐dimensional space forms | Zendy

Schmitt N. | Zendy; Kilian M. | Zendy; Kobayashi S.-P. | Zendy; Rossman W. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Unitarization of monodromy representations and constant mean curvature trinoids in 3‐dimensional space forms

Author(s) -

Schmitt N.,

Kilian M.,

Kobayashi S.-P.,

Rossman W.

Publication year - 2007

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdm005

Subject(s) - monodromy , mathematics , constant curvature , constant (computer programming) , space (punctuation) , pure mathematics , curvature , simply connected space , mean curvature , space frame , group (periodic table) , mathematical analysis , geometry , physics , computer science , quantum mechanics , programming language , thermodynamics , operating system

A theorem on the unitarizability of loop group valued monodromy representations is presented and applied to show the existence of new families of constant mean curvature surfaces homeomorphic to a thrice‐punctured sphere in the simply connected 3‐dimensional space forms ℝ 3 , 3 and ℍ 3 . Additionally, the extended frame for any associated family of Delaunay surfaces is computed.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research