Coordinate neighborhoods of arcs and the approximation of maps into (almost) complex manifolds

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dc.creatorChakrabarti, Debraj
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:14:22Z
dc.date.available2026-07-07T07:14:22Z
dc.descriptionWe study the approximation of J-holomorphic maps continuous to the boundary from ma domain in the complex plane into an almost complex manifold by maps J-holomorphic to the boundary, giving partial results in the non-integrable case. For the integrable case, we study arcs in complex manifolds and establish the existence of neighborhoods biholomorphic to open sets in Euclidean space for several classes of arcs. As an application, we obtain $\mathcal{C}^k$ approximation of holomorphic maps continuous to the boundary into complex manifolds by maps holomorphic to the boundary, provided the boundary is nice enough.
dc.descriptionBased on the author's doctoral dissertation/
dc.identifierhttps://arxiv.org/abs/math/0605496
dc.identifierhttp://arxiv.org/abs/math/0605496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112846
dc.subjectComplex Variables
dc.subject32Q60, 32Q65,32H02,30E10
dc.titleCoordinate neighborhoods of arcs and the approximation of maps into (almost) complex manifolds
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