Dual Pairs and Regularization of Kummer Shapes in Resonances
dc.contributor.author | Ohsawa, Tomoki | |
dc.contributor.utdAuthor | Ohsawa, Tomoki | |
dc.date.accessioned | 2020-03-24T22:17:54Z | |
dc.date.available | 2020-03-24T22:17:54Z | |
dc.date.issued | 2019-06 | |
dc.description | Due to copyright restrictions and/or publisher's policy full text access from Treasures at UT Dallas is not available. UTD affiliates may be able to acquire a copy through Interlibrary Loan by using the link to UTD ILL. | |
dc.description.abstract | We present an account of dual pairs and the Kummer shapes for n : m resonances that provides an alternative to Holm and Vizman’s work. The advantages of our point of view are that the associated Poisson structure on su(2)* is the standard (+)-Lie–Poisson bracket independent of the values of (n, m) as well as that the Kummer shape is regularized to become a sphere without any pinches regardless of the values of (n, m). A similar result holds for n : −m resonance with a paraboloid and su(1, 1)* . The result also has a straightforward generalization to multidimensional resonances as well. ©2019 American Institute of Mathematical Sciences | |
dc.description.department | School of Natural Sciences and Mathematics | |
dc.identifier.bibliographicCitation | Ohsawa, T.. 2019. "Dual pairs and regularization of kummer shapes in resonances." Journal of Geometric Mechanics 11(2): 225-238, doi: 10.3934/jgm.2019012 | |
dc.identifier.issn | 1941-4889 | |
dc.identifier.issue | 2 | |
dc.identifier.uri | http://dx.doi.org/10.3934/jgm.2019012 | |
dc.identifier.uri | https://hdl.handle.net/10735.1/7474 | |
dc.identifier.volume | 11 | |
dc.language.iso | en | |
dc.publisher | American Institute of Mathematical Sciences | |
dc.rights | ©2019 American Institute of Mathematical Sciences | |
dc.source.journal | Journal of Geometric Mechanics | |
dc.subject | Resonance | |
dc.subject | Kummer surfaces | |
dc.title | Dual Pairs and Regularization of Kummer Shapes in Resonances | |
dc.type.genre | article |
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