CORDIS Project
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This project investigates the first eigenvalue problem for the Laplace operator within geometric frameworks. It focuses on defining the first eigenvalue as a functional on Riemannian metrics and aims to explore the existence and properties of extremal metrics using both analytic and geometric methods.
The project is devoted to the study of the first eigenvalue problem for the Laplace operator in geometric settings.
The starting ideology is to regard the first eigenvalue as a functional defined on a suitable set of Riemannian metrics, and the main objects of the study are the corresponding extremals.
More precisely, the objectives are to study the existence and the properties of extremal metrics.
The methods and intuition are both analytic and geometric and involve, for example, the analysis o…
UNIVERSITE DE CERGY-PONTOISE
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