Document details

The first eigenvalue of the Laplacian and the Conductance of a Compact surface

Author(s): Gracio, Clara cv logo 1 ; Ramos, José Sousa cv logo 2

Date: 2006

Persistent ID: http://hdl.handle.net/10174/6762

Origin: Repositório Científico da Universidade de Évora

Subject(s): eigenvalue


Description
We present some results with the central theme of is the phenomenon of the first eigenvalue of the Laplacian and conductance of the dynamical system. Our main tool is a method for studying how the hyperbolic metric on a Riemann surface behaves under deformation of the surface. With this model, we show variation of the first eigenvalue of the laplacian and the conductance of the dynamical system, with the Fenchel–Nielsen coordinates, that characterize the surface.
Document Type Article
Language English
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