Ricci Tensors with Rotational Symmetry on R^n

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In 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.
12 pages, 01 figure. To appear in Resenhas do IME-USP

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Differential Geometry, Mathematical Physics, 53C21, 58J603, 4A09

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http://salesiana.dossiersoluciones.com/handle/123456789/70663

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403544
 http://arxiv.org/abs/math/0403544

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arXiv