Stability and chaos in Kustaanheimo–Stiefel space induced by the Hopf fibration
نویسندگان
چکیده
منابع مشابه
The Hopf Fibration and its Applications
Among the most important topological constructions are Hopf fibrations. That they both play an important role in topology itself and have numerous physical applications lends credence to this statement. In this paper, I will discuss some of these applications as motivation for mathematicians to learn about the physical significance of the Hopf fibration in greater detail than that presented her...
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We study the horizontal Laplacian ∆ associated to the Hopf fibration S → S with arbitrary Chern number k. We use representation theory to calculate the spectrum, describe the heat kernel and obtain the complete heat trace asymptotics of ∆ . We express the Green functions for associated Poisson semigroups and obtain bounds for their contraction properties and Sobolev inequalities for ∆ . The bou...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2016
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/stw780