Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286793950> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4286793950 abstract "The problem of finding minimizing geodesics for a manifold M with a sub-Riemannian structure is equivalent to the time optimal control of a driftless system on M with a bound on the control. We consider here a class of sub-Riemannian problems on the classical Lie groups G where the dynamical equations are of the form dot x=sum_j X_j(x) u_j and the X_j=X_j(x) are right invariant vector fields on G and u_j:=u_j(t) the controls. The vector fields X_j are assumed to belong to the P part of a Cartan K-P decomposition. These types of problems admit a group of symmetries K which act on G by conjugation. Under the assumption that the minimal isotropy group in K is discrete, we prove that we can reduce the problem to a Riemannian problem on the regular part of the associated quotient space G/K. On this part we define the corresponding quotient metric. For the special cases of the K-P decomposition of SU(n) of type AIII we prove that the assumption on the minimal isotropy group is verified. Moreover, under the assumption that the quotient space G/K with the given metric has negative curvature we prove that the cut locus has to belong to the singular part of G. As an example of applications of these techniques we characterize the cut locus for a problem on SU(2) of interest in the control of quantum systems." @default.
- W4286793950 created "2022-07-24" @default.
- W4286793950 creator A5008152552 @default.
- W4286793950 creator A5068155755 @default.
- W4286793950 date "2019-04-26" @default.
- W4286793950 modified "2023-09-27" @default.
- W4286793950 title "On K-P sub-Riemannian Problems and their Cut Locus" @default.
- W4286793950 doi "https://doi.org/10.48550/arxiv.1904.12063" @default.
- W4286793950 hasPublicationYear "2019" @default.
- W4286793950 type Work @default.
- W4286793950 citedByCount "0" @default.
- W4286793950 crossrefType "posted-content" @default.
- W4286793950 hasAuthorship W4286793950A5008152552 @default.
- W4286793950 hasAuthorship W4286793950A5068155755 @default.
- W4286793950 hasBestOaLocation W42867939501 @default.
- W4286793950 hasConcept C104317684 @default.
- W4286793950 hasConcept C114614502 @default.
- W4286793950 hasConcept C121332964 @default.
- W4286793950 hasConcept C134306372 @default.
- W4286793950 hasConcept C165818556 @default.
- W4286793950 hasConcept C185592680 @default.
- W4286793950 hasConcept C187915474 @default.
- W4286793950 hasConcept C190470478 @default.
- W4286793950 hasConcept C199422724 @default.
- W4286793950 hasConcept C202444582 @default.
- W4286793950 hasConcept C203946495 @default.
- W4286793950 hasConcept C2524010 @default.
- W4286793950 hasConcept C2779593128 @default.
- W4286793950 hasConcept C2781311116 @default.
- W4286793950 hasConcept C33923547 @default.
- W4286793950 hasConcept C37914503 @default.
- W4286793950 hasConcept C55493867 @default.
- W4286793950 hasConcept C62520636 @default.
- W4286793950 hasConcept C6628132 @default.
- W4286793950 hasConcept C73648015 @default.
- W4286793950 hasConcept C84597430 @default.
- W4286793950 hasConcept C91188154 @default.
- W4286793950 hasConcept C96469262 @default.
- W4286793950 hasConceptScore W4286793950C104317684 @default.
- W4286793950 hasConceptScore W4286793950C114614502 @default.
- W4286793950 hasConceptScore W4286793950C121332964 @default.
- W4286793950 hasConceptScore W4286793950C134306372 @default.
- W4286793950 hasConceptScore W4286793950C165818556 @default.
- W4286793950 hasConceptScore W4286793950C185592680 @default.
- W4286793950 hasConceptScore W4286793950C187915474 @default.
- W4286793950 hasConceptScore W4286793950C190470478 @default.
- W4286793950 hasConceptScore W4286793950C199422724 @default.
- W4286793950 hasConceptScore W4286793950C202444582 @default.
- W4286793950 hasConceptScore W4286793950C203946495 @default.
- W4286793950 hasConceptScore W4286793950C2524010 @default.
- W4286793950 hasConceptScore W4286793950C2779593128 @default.
- W4286793950 hasConceptScore W4286793950C2781311116 @default.
- W4286793950 hasConceptScore W4286793950C33923547 @default.
- W4286793950 hasConceptScore W4286793950C37914503 @default.
- W4286793950 hasConceptScore W4286793950C55493867 @default.
- W4286793950 hasConceptScore W4286793950C62520636 @default.
- W4286793950 hasConceptScore W4286793950C6628132 @default.
- W4286793950 hasConceptScore W4286793950C73648015 @default.
- W4286793950 hasConceptScore W4286793950C84597430 @default.
- W4286793950 hasConceptScore W4286793950C91188154 @default.
- W4286793950 hasConceptScore W4286793950C96469262 @default.
- W4286793950 hasLocation W42867939501 @default.
- W4286793950 hasOpenAccess W4286793950 @default.
- W4286793950 hasPrimaryLocation W42867939501 @default.
- W4286793950 hasRelatedWork W2463757430 @default.
- W4286793950 hasRelatedWork W2768373233 @default.
- W4286793950 hasRelatedWork W2884875474 @default.
- W4286793950 hasRelatedWork W2901496727 @default.
- W4286793950 hasRelatedWork W2941201530 @default.
- W4286793950 hasRelatedWork W2962725990 @default.
- W4286793950 hasRelatedWork W2963565741 @default.
- W4286793950 hasRelatedWork W4286793950 @default.
- W4286793950 hasRelatedWork W4290121632 @default.
- W4286793950 hasRelatedWork W4299506488 @default.
- W4286793950 isParatext "false" @default.
- W4286793950 isRetracted "false" @default.
- W4286793950 workType "article" @default.