Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11230
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Crouch, P. | - |
dc.contributor.author | Leite, F. Silva | - |
dc.contributor.author | Camarinha, M. | - |
dc.date.accessioned | 2009-08-27T14:09:41Z | - |
dc.date.available | 2009-08-27T14:09:41Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | Pré-Publicações DMUC. 98-17 (1998) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11230 | - |
dc.description.abstract | We present a Hamiltonian formulation of a second order variational problem on a differentiable manifold Q, endowed with a Riemannian metric < .,.> and explore the possibility of writing down the extremal solutions of that problem as a flow in the space TQ T*Q T*Q. For that we utilize the connection r on Q, corresponding to the metric < .,.>. In general the results depend upon a choice of frame for TQ, but for the special situation when Q is a Lie group G with Lie algebra G, our results are global and the flow reduces to a flow on G x G x G* x G*. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Riemannian manifolds | en_US |
dc.subject | Lie groups | en_US |
dc.subject | Hamiltonian equations | en_US |
dc.subject | Optimal control | en_US |
dc.subject | Variational problems | en_US |
dc.title | A second order Riemannian variational problem from a Hamiltonian perspective | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-2227-4259 | - |
crisitem.author.orcid | 0000-0003-4587-7861 | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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A second order Riemannian variational problem from a Hamiltonian perspective.pdf | 205.52 kB | Adobe PDF | View/Open |
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