Ricci Tensors with Rotational Symmetry on R^n

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dc.creatorGarcia, Ronaldo
dc.creatorPina, Romildo
dc.date2004-03-31
dc.date.accessioned2026-07-07T05:06:56Z
dc.date.available2026-07-07T05:06:56Z
dc.descriptionIn this paper is considered the differential equation Ric(g)=T, where Ric(g) is the Ricci tensor of the metric g and T is a rotational symmetric tensor on R^n. A new, geometric, proof of the existence of smooth solutions of this equation, based on qualitative theory of implicitdifferential equations, is presented here. This result was obtained previously by DeTurck and Cao in 1994.
dc.description12 pages, 01 figure. To appear in Resenhas do IME-USP
dc.identifierhttps://arxiv.org/abs/math/0403544
dc.identifierhttp://arxiv.org/abs/math/0403544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70663
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C21, 58J603, 4A09
dc.titleRicci Tensors with Rotational Symmetry on R^n
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