New Solutions of the Einstein-Dirac Equation in Dimension n=3

Simple item page
dc.creatorFriedrich, Thomas
dc.date2000-01-27
dc.date.accessioned2026-07-07T04:33:27Z
dc.date.available2026-07-07T04:33:27Z
dc.descriptionThe aim of this short note is to announce the existence of a one-parameter family of left-invariant metrics on $S^3$ admitting WK-spinors. This family contains the two non-Einstein Sasakian metrics with WK-spinors on $S^3$, but does not contain the standard sphere $S^3$ with Killing spinors. Moreover, any simply-connected, complete Riemannian manifold $X^3 \not= S^3$ with WK-spinors such that the eigenvalues of the Ricci tensor are constant is isometric to a space of this one-parameter family.
dc.descriptionLatex2.09, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0001156
dc.identifierhttp://arxiv.org/abs/math/0001156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58579
dc.subjectDifferential Geometry
dc.subject53C25, 58G30
dc.titleNew Solutions of the Einstein-Dirac Equation in Dimension n=3
dc.typetext

Files

Collections

arXiv