## Mathematics and Statistics Faculty Publications and Presentations

#### Title

Conformal Laplacian and Conical Singularities

Post-Print

2002

#### Subjects

Manifolds (Mathematics), Singularities (Mathematics), Laplacian operator, Singularities (Mathematics)

#### Abstract

We study a behavior of the conformal Laplacian operator $\L_g$ on a manifold with \emph{tame conical singularities}: when each singularity is given as a cone over a product of the standard spheres. We study the spectral properties of the operator $\L_g$ on such manifolds. We describe the asymptotic of a general solution of the equation $\L_g u = Q u^{\alpha}$ with 1≤αn+2 near each singular point. In particular, we derive the asymptotic of the Yamabe metric near such singularity.

#### Description

This is the author’s version of a work. Originally published in: arXiv

#### Persistent Identifier

http://archives.pdx.edu/ds/psu/13334

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