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arXiv · 1706.10264

Non-degeneracy of Gauss curvature equation with negative conic singularity

Juncheng Wei·Lei Zhang
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Abstract

We study the Gauss curvature equation with negative singularities. For a local mean field type equation with only one negative index we prove a uniqueness property. For a global equation with one or two negative indexes we prove the non-degeneracy of the linearized equations.

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Juncheng Wei, Lei Zhang. 2017-06-30. Non-degeneracy of Gauss curvature equation with negative conic singularity. https://doi.org/10.2140/pjm.2018.297.455

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