Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T03:13:37.855Z Has data issue: false hasContentIssue false

4 - Open Iwasawa cells and applications to surface theory

Published online by Cambridge University Press:  05 November 2011

Josef F. Dorfmeister
Affiliation:
Technische Universität München
Roger Bielawski
Affiliation:
University of Leeds
Kevin Houston
Affiliation:
University of Leeds
Martin Speight
Affiliation:
University of Leeds
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] K., Aomoto, On some double coset decompositions of complex semisimple Lie groups, J.Math.Soc.Japan 18 (1966), 1–44Google Scholar
[2] D., Brander, W., Rossman, N., Schmitt, Holomorphic representation of constant mean curvature surfaces in Minkowski space:consequences of non-compactness in loop group methods, Adv.Math. 223 (2010), 949–986Google Scholar
[3] J., Dorfmeister, H., Gradl, J., Szmigielski, Systems of PDEs obtained from factorization in loop groups, Acta Appl.Math. 53 (1998), 1–58Google Scholar
[4] J., Dorfmeister, Weighted l1–Grassmannians and Banach manifolds of solutions of the KP-equation and the KdV-equation, Math.Nachr. 180 (1996), 43–73Google Scholar
[5] J., Dorfmeister, M., Guest, W., Rossman, The tt* structure of the quantum cohomology of ℂP1 from the viewpoint of differential geometry, Asian J.Math. 14 (2010), 417–438Google Scholar
[6] J., Dorfmeister, J., Inoguchi, S., Kobayashi, Constant mean curvature surfaces in hyperbolic 3-space via loop groups, to appear
[7] J., Dorfmeister, F., Pedit and H., Wu, Weierstrass-type representations of harmonic maps into symmetric spaces, Comm.Anal.Geom. 6 (1998), 633–668.Google Scholar
[8] J., Dorfmeister, P., Wang Willmore Spheres in Sn, work in progress
[9] V., Kac, D., Peterson, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. USA 80 (1983), 1772–1782Google Scholar
[10] Kellersch, , Eine Verallgemeinerung der Iwasawa Zerlegung in Loop Gruppen, Dissertation, TU München, 1999
[11] P., Kellersch, The Iwasawa decomposition for the untwisted group of loops in semisimple Lie groups Balkan Press 2003, http://www.mathem.pub.ro/dgds/mono/dgdsmono.htm
[12] S., Kobayashi, Totally symmetric surfaces of constant mean curvature in hyperbolic 3-space, Bull.Aust.Math.Soc 82 (2010), 240–253Google Scholar
[13] T., Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups, J.Math.Soc.Japan 31 (1979) 331–357Google Scholar
[14] A., Pressley, G., Segal, Loop groups, Oxford Mathematical Monographs, Oxford University Press 1986Google Scholar
[15] W., Rossmann, The structure of semisimple symmetric spaces, Canad.J.Math 31 (1979), 157–180Google Scholar
[16] G., Segal, G., Wilson, Loop groups and equations of KdV type, Inst.Hautes Etudes Sci.Publ.Math. 61 (1985), 5–65Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×