Services on Demand
Journal
Article
Indicators
Cited by SciELO
Access statistics
Related links
Cited by Google
Similars in SciELO
Similars in Google
Share
Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Abstract
GARCIA, GONZALO and MUNOZ, JHOVANNY. Uniqueness of Conformal Metrics with Prescribed Scalar and mean Curvatures on Compact Manifolds with Boundary. Rev.colomb.mat. [online]. 2010, vol.44, n.2, pp.91-101. ISSN 0034-7426.
Let (Mn, g) be a compact manifold with boundary and n ≥ 2. In this paper we prove the variational characterization of the Neumann eigenvalues of an elliptic operator associated to the problem of conformal deformation of metrics and we study the uniqueness of metrics in the conformal class of the metric g having the same scalar curvature of the manifold and the same mean curvature of its boundary.
Keywords : Uniqueness; Conformal metrics; Curvature.