Prescribing curvature on compact surfaces with conical singularities

Troyanov, Marc

doi:10.1090/S0002-9947-1991-1005085-9

Prescribing curvature on compact surfaces with conical singularities
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Trans. Amer. Math. Soc. 324 (1991), 793-821 Request permission

Abstract:

We study the Berger-Nirenberg problem on surfaces with conical singularities, i.e. we discuss conditions under which a function on a Riemann surface is the Gaussian curvature of some conformal metric with a prescribed set of singularities of conical types.

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De l’intégration de l’équation

sur une surface de Riemann fermée

130

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