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Annali di Matematica Pura ed Applicata (1923 -)
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Discrete Yamabe problem for polyhedral surfaces

2019
We introduce a new discretization of the Gaussian curvature on piecewise at surfaces. As the prime new feature the curvature is scaled by the factor 1/r2 upon scaling the metric globally with the factor r. We develop a variational principle to tackle the corresponding discrete uniformisation theorem – we show that each piecewise at surface is discrete ...
Kourimska, Hana, Springborn, Boris
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The Yamabe problem on subdomains of \(S^ 6\)

1994
The author proves the following theorem: Let \(\Lambda\) be a finite sum of two dimensional smooth submanifolds of \(S^ 6\). Then there exists on \(S^ 6 \setminus \Lambda\) a complete conformally flat metric of constant positive scalar curvature. This note completes the investigations of \textit{R. Schoen} [Commun. Pure Appl. Math. 41, No.
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Compactness of solutions to the Yamabe problem. III

Journal of Functional Analysis, 2007
Yanyan Li
exaly

A Multiplicity Result for the Yamabe Problem on Sn

Journal of Functional Analysis, 1999
Andrea Malchiodi
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The Yamabe Problem

2006
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A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound

Journal of Functional Analysis, 2014
Yanyan Li, Luc Nguyen
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The Yamabe problem on quaternionic contact manifolds

Annali Di Matematica Pura Ed Applicata, 2006
Wei Wang
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A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

Advances in Mathematics, 2014
Yanyan Li, Luc Nguyen
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