Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298287811> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4298287811 abstract "We consider the problem of identifying a unitary Yang-Mills connection $nabla$ on a Hermitian vector bundle from the Dirichlet-to-Neumann (DN) map of the connection Laplacian $nabla^*nabla$ over compact Riemannian manifolds with boundary. We establish uniqueness of the connection up to a gauge equivalence in the case of trivial line bundles in the smooth category and for the higher rank case in the analytic category, by using geometric analysis methods and essentially only one measurement. Moreover, by using a Runge-type approximation argument along curves to recover holonomy, we are able to uniquely determine both the bundle structure and the connection, but at the cost of having more measurements. Also, we prove that the DN map is an elliptic pseudodifferential operator of order one on the restriction of the vector bundle to the boundary, whose full symbol determines the complete Taylor series of an arbitrary connection, metric and an associated potential at the boundary." @default.
- W4298287811 created "2022-10-01" @default.
- W4298287811 creator A5005842774 @default.
- W4298287811 date "2017-04-05" @default.
- W4298287811 modified "2023-09-30" @default.
- W4298287811 title "Calder'on problem for Yang-Mills connections" @default.
- W4298287811 doi "https://doi.org/10.48550/arxiv.1704.01362" @default.
- W4298287811 hasPublicationYear "2017" @default.
- W4298287811 type Work @default.
- W4298287811 citedByCount "0" @default.
- W4298287811 crossrefType "posted-content" @default.
- W4298287811 hasAuthorship W4298287811A5005842774 @default.
- W4298287811 hasBestOaLocation W42982878111 @default.
- W4298287811 hasConcept C106953101 @default.
- W4298287811 hasConcept C12089564 @default.
- W4298287811 hasConcept C121332964 @default.
- W4298287811 hasConcept C129049296 @default.
- W4298287811 hasConcept C13355873 @default.
- W4298287811 hasConcept C134306372 @default.
- W4298287811 hasConcept C137134375 @default.
- W4298287811 hasConcept C1432948 @default.
- W4298287811 hasConcept C165818556 @default.
- W4298287811 hasConcept C191961195 @default.
- W4298287811 hasConcept C195065555 @default.
- W4298287811 hasConcept C202444582 @default.
- W4298287811 hasConcept C2524010 @default.
- W4298287811 hasConcept C2777021972 @default.
- W4298287811 hasConcept C2779557605 @default.
- W4298287811 hasConcept C32234688 @default.
- W4298287811 hasConcept C32518243 @default.
- W4298287811 hasConcept C33923547 @default.
- W4298287811 hasConcept C4306028 @default.
- W4298287811 hasConcept C54207081 @default.
- W4298287811 hasConcept C62354387 @default.
- W4298287811 hasConcept C62520636 @default.
- W4298287811 hasConcept C66384103 @default.
- W4298287811 hasConcept C76453154 @default.
- W4298287811 hasConcept C95857938 @default.
- W4298287811 hasConceptScore W4298287811C106953101 @default.
- W4298287811 hasConceptScore W4298287811C12089564 @default.
- W4298287811 hasConceptScore W4298287811C121332964 @default.
- W4298287811 hasConceptScore W4298287811C129049296 @default.
- W4298287811 hasConceptScore W4298287811C13355873 @default.
- W4298287811 hasConceptScore W4298287811C134306372 @default.
- W4298287811 hasConceptScore W4298287811C137134375 @default.
- W4298287811 hasConceptScore W4298287811C1432948 @default.
- W4298287811 hasConceptScore W4298287811C165818556 @default.
- W4298287811 hasConceptScore W4298287811C191961195 @default.
- W4298287811 hasConceptScore W4298287811C195065555 @default.
- W4298287811 hasConceptScore W4298287811C202444582 @default.
- W4298287811 hasConceptScore W4298287811C2524010 @default.
- W4298287811 hasConceptScore W4298287811C2777021972 @default.
- W4298287811 hasConceptScore W4298287811C2779557605 @default.
- W4298287811 hasConceptScore W4298287811C32234688 @default.
- W4298287811 hasConceptScore W4298287811C32518243 @default.
- W4298287811 hasConceptScore W4298287811C33923547 @default.
- W4298287811 hasConceptScore W4298287811C4306028 @default.
- W4298287811 hasConceptScore W4298287811C54207081 @default.
- W4298287811 hasConceptScore W4298287811C62354387 @default.
- W4298287811 hasConceptScore W4298287811C62520636 @default.
- W4298287811 hasConceptScore W4298287811C66384103 @default.
- W4298287811 hasConceptScore W4298287811C76453154 @default.
- W4298287811 hasConceptScore W4298287811C95857938 @default.
- W4298287811 hasLocation W42982878111 @default.
- W4298287811 hasOpenAccess W4298287811 @default.
- W4298287811 hasPrimaryLocation W42982878111 @default.
- W4298287811 hasRelatedWork W1983713153 @default.
- W4298287811 hasRelatedWork W2086855354 @default.
- W4298287811 hasRelatedWork W2153586193 @default.
- W4298287811 hasRelatedWork W2807781543 @default.
- W4298287811 hasRelatedWork W3025612998 @default.
- W4298287811 hasRelatedWork W3180235418 @default.
- W4298287811 hasRelatedWork W3215620951 @default.
- W4298287811 hasRelatedWork W4288020978 @default.
- W4298287811 hasRelatedWork W4298287811 @default.
- W4298287811 hasRelatedWork W4300046528 @default.
- W4298287811 isParatext "false" @default.
- W4298287811 isRetracted "false" @default.
- W4298287811 workType "article" @default.