Oriented straight lines and twistor correspondence

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dc.creatorDunajski, Maciej
dc.date2004-08-10
dc.date2004-11-23
dc.date.accessioned2026-07-07T06:21:21Z
dc.date.available2026-07-07T06:21:21Z
dc.descriptionThe tangent bundle to the $n$--dimensional sphere is the space of oriented lines in $\R^{n+1}$. We characterise the smooth sections of $TS^n\to S^n$ which correspond to points in $\R^{n+1}$ as gradients of eigenfunctions of the Laplacian on $S^n$ with eigenvalue $n$. The special case of $n=6$ and its connection with almost complex geometry is discussed.
dc.description8 pages, one figure. Final version, to appear in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/math/0408136
dc.identifierhttp://arxiv.org/abs/math/0408136
dc.identifierGeometriae Dedicata 112 (2005) 243--251.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95572
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOriented straight lines and twistor correspondence
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