Matches in SemOpenAlex for { <https://semopenalex.org/work/W3167214678> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3167214678 endingPage "751" @default.
- W3167214678 startingPage "709" @default.
- W3167214678 abstract "The Cartan group is the free nilpotent Lie group of rank 2 and step 3. We consider the left-invariant sub-Riemannian problem on the Cartan group defined by an inner product in the first layer of its Lie algebra. This problem gives a nilpotent approximation of an arbitrary sub-Riemannian problem with the growth vector (2,3,5). In previous works, we described a group of symmetries of the sub-Riemannian problem on the Cartan group, and the corresponding Maxwell time — the first time when symmetric geodesics intersect one another. It is known that geodesics are not globally optimal after the Maxwell time. In this work, we study local optimality of geodesics on the Cartan group. We prove that the first conjugate time along a geodesic is not less than the Maxwell time corresponding to the group of symmetries. We characterize geodesics for which the first conjugate time is equal to the first Maxwell time. Moreover, we describe continuity of the first conjugate time near infinite values." @default.
- W3167214678 created "2021-06-22" @default.
- W3167214678 creator A5020795967 @default.
- W3167214678 date "2021-05-31" @default.
- W3167214678 modified "2023-09-30" @default.
- W3167214678 title "Conjugate Time in the Sub-Riemannian Problem on the Cartan Group" @default.
- W3167214678 cites W1496322198 @default.
- W3167214678 cites W1540059687 @default.
- W3167214678 cites W1561307122 @default.
- W3167214678 cites W1595765050 @default.
- W3167214678 cites W1598905606 @default.
- W3167214678 cites W1632332658 @default.
- W3167214678 cites W1655919850 @default.
- W3167214678 cites W1891021866 @default.
- W3167214678 cites W1965743188 @default.
- W3167214678 cites W2005873971 @default.
- W3167214678 cites W2013610803 @default.
- W3167214678 cites W2025090648 @default.
- W3167214678 cites W2229744558 @default.
- W3167214678 cites W22545347 @default.
- W3167214678 cites W2328198466 @default.
- W3167214678 cites W2335162800 @default.
- W3167214678 cites W2489588148 @default.
- W3167214678 cites W2565765310 @default.
- W3167214678 cites W2964299164 @default.
- W3167214678 cites W3168193106 @default.
- W3167214678 cites W4210633139 @default.
- W3167214678 cites W4210956211 @default.
- W3167214678 cites W4235232324 @default.
- W3167214678 cites W4256396609 @default.
- W3167214678 doi "https://doi.org/10.1007/s10883-021-09542-5" @default.
- W3167214678 hasPublicationYear "2021" @default.
- W3167214678 type Work @default.
- W3167214678 sameAs 3167214678 @default.
- W3167214678 citedByCount "9" @default.
- W3167214678 countsByYear W31672146782022 @default.
- W3167214678 countsByYear W31672146782023 @default.
- W3167214678 crossrefType "journal-article" @default.
- W3167214678 hasAuthorship W3167214678A5020795967 @default.
- W3167214678 hasBestOaLocation W31672146782 @default.
- W3167214678 hasConcept C121332964 @default.
- W3167214678 hasConcept C134306372 @default.
- W3167214678 hasConcept C145807718 @default.
- W3167214678 hasConcept C165818556 @default.
- W3167214678 hasConcept C187915474 @default.
- W3167214678 hasConcept C202444582 @default.
- W3167214678 hasConcept C203946495 @default.
- W3167214678 hasConcept C2524010 @default.
- W3167214678 hasConcept C2779593128 @default.
- W3167214678 hasConcept C2781311116 @default.
- W3167214678 hasConcept C33923547 @default.
- W3167214678 hasConcept C50555996 @default.
- W3167214678 hasConcept C62520636 @default.
- W3167214678 hasConcept C65096084 @default.
- W3167214678 hasConcept C6628132 @default.
- W3167214678 hasConcept C73648015 @default.
- W3167214678 hasConcept C96469262 @default.
- W3167214678 hasConceptScore W3167214678C121332964 @default.
- W3167214678 hasConceptScore W3167214678C134306372 @default.
- W3167214678 hasConceptScore W3167214678C145807718 @default.
- W3167214678 hasConceptScore W3167214678C165818556 @default.
- W3167214678 hasConceptScore W3167214678C187915474 @default.
- W3167214678 hasConceptScore W3167214678C202444582 @default.
- W3167214678 hasConceptScore W3167214678C203946495 @default.
- W3167214678 hasConceptScore W3167214678C2524010 @default.
- W3167214678 hasConceptScore W3167214678C2779593128 @default.
- W3167214678 hasConceptScore W3167214678C2781311116 @default.
- W3167214678 hasConceptScore W3167214678C33923547 @default.
- W3167214678 hasConceptScore W3167214678C50555996 @default.
- W3167214678 hasConceptScore W3167214678C62520636 @default.
- W3167214678 hasConceptScore W3167214678C65096084 @default.
- W3167214678 hasConceptScore W3167214678C6628132 @default.
- W3167214678 hasConceptScore W3167214678C73648015 @default.
- W3167214678 hasConceptScore W3167214678C96469262 @default.
- W3167214678 hasFunder F4320324099 @default.
- W3167214678 hasIssue "4" @default.
- W3167214678 hasLocation W31672146781 @default.
- W3167214678 hasLocation W31672146782 @default.
- W3167214678 hasOpenAccess W3167214678 @default.
- W3167214678 hasPrimaryLocation W31672146781 @default.
- W3167214678 hasRelatedWork W2159882757 @default.
- W3167214678 hasRelatedWork W2463757430 @default.
- W3167214678 hasRelatedWork W2900732044 @default.
- W3167214678 hasRelatedWork W2952904468 @default.
- W3167214678 hasRelatedWork W2963565741 @default.
- W3167214678 hasRelatedWork W3031786879 @default.
- W3167214678 hasRelatedWork W3167214678 @default.
- W3167214678 hasRelatedWork W4290121632 @default.
- W3167214678 hasRelatedWork W4300993902 @default.
- W3167214678 hasRelatedWork W638475373 @default.
- W3167214678 hasVolume "27" @default.
- W3167214678 isParatext "false" @default.
- W3167214678 isRetracted "false" @default.
- W3167214678 magId "3167214678" @default.
- W3167214678 workType "article" @default.