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An Onofri-type Inequality on the Sphere with Two Conical Singularities
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper, we give a new proof of the Onofri-type inequality
on the sphere $S$ with Gaussian curvature 1 and with conical singularities divisor $\mathcal{A}\,=\,\beta \,\cdot \,{{p}_{1}}\,+\,\beta \,\cdot \,{{p}_{2}}$ for $\beta \in \,(-1,\,0)$; here ${{p}_{1}}$ and ${{p}_{2}}$ are antipodal.
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- Research Article
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- Copyright © Canadian Mathematical Society 2012