On the invariant spectrum on ${\mathbb{P}}^1$

Abstract

Motivated by the work of Abreu and Freitas, we study the invariant spectrum of the Laplace operator associated to hermitian line bundles endowed with invariant metrics over $p^1$.

arXiv commentAccepted for publication in Mathematische Nachrichten. A paragraph is added and gives an example of unbounded sequence of first invariant eigenvalues

References in corpus (2)

• The spectral theory of generalized Laplacians associated to integrable metrics on compact Riemann surfaces
• Sur la théorie spectrale des métriques intégrables sur une surface de Riemann compacte