Anisotropic quaternion Carnot groups: geometric analysis and Green's function

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dc.creatorChang, Der-Chen
dc.creatorMarkina, Irina
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:28:36Z
dc.date.available2026-07-07T07:28:36Z
dc.descriptionWe construct examples of 2-step Carnot groups related to quaternions and study their fine structure and geometric properties. This involves the Hamiltonian formalism, which is used to obtain explicit equations for geodesics and the computation of the number of geodesics joining two different points on these groups. We able to find the explicit lengths of geodesics. We present the fundamental solutions of the Heat and sub-Laplace equations for these anisotropic groups and obtain some estimates for them, which may be useful.
dc.description39 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0610070
dc.identifierhttp://arxiv.org/abs/math/0610070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117789
dc.subjectDifferential Geometry
dc.subject53C17, 53C22, 35H20
dc.titleAnisotropic quaternion Carnot groups: geometric analysis and Green's function
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