Spectre du Laplacien singulier associé aux métriques canoniques sur $\mathbb{P}^1$

Mounir Hajli

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arXiv · 1301.1786

Spectre du Laplacien singulier associé aux métriques canoniques sur $\mathbb{P}^1$

Mounir Hajli

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Abstract

We construct a singular differential operator attached to a class of singular metrics on the line bundles over the complex projective space, $\mathbb{P}^1$. This operator extends the classical notion of the generalized Laplacian. We prove that this operator admits a infinite, discrete and positive spectrum. We compute it explicitly.

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BibTeX RIS

Mounir Hajli. 2014-03-13. Spectre du Laplacien singulier associé aux métriques canoniques sur $\mathbb{P}^1$. https://arxiv.org/abs/1301.1786

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