Spectral properties and conformal type of surfaces

In this short note, we announce a result relating the geometry of a riemannian surface to the positivity of some operators on this surface (the operators considered here are of the form surface Laplacian plus a scalar multiple of the curvature function). In particular we obtain a theorem "à la...

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Bibliographic Details
Main Author: PHILIPPE CASTILLON
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2002-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000400003