Orthogonal almost-complex structures of minimal energy

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dc.creatorBor, G.
dc.creatorHernández-Lamoneda, L.
dc.creatorSalvai, M.
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:24:56Z
dc.date.available2026-07-07T07:24:56Z
dc.descriptionIn this article we apply a Bochner type formula to show that on a compact conformally flat riemannian manifold (or half-conformally flat in dimension 4) certain types of orthogonal almost-complex structures, if they exist, give the absolute minimum for the energy functional. We give a few examples when such minimizers exist, and in particular, we prove that the standard almost-complex structure on the round S^6 gives the absolute minimum for the energy. We also discuss the uniqueness of this minimum and the extension of these results to other orthogonal G-structures.
dc.identifierhttps://arxiv.org/abs/math/0609511
dc.identifierhttp://arxiv.org/abs/math/0609511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116561
dc.subjectDifferential Geometry
dc.subject53C55, 53C15
dc.titleOrthogonal almost-complex structures of minimal energy
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