Paul Yang

activity

20022005

most citedNon-linear partial differential equations in conformal geometry

26 citations · 27 across the 7 of their papers we have counts for

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Showing 2004Show all

2 papers · 1 filter

math.DG2004★ 1 cited

An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature

Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang

We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies…

math.AP2004

Classification of singular radial solutions to the $σ_{k}$ Yamabe equation on annular domains

S. -Y. Alice Chang, Zheng-Chao Han, Paul Yang

The study of the $k$ -th elementary symmetric function of the Weyl-Schouten curvature tensor of a Riemannian metric, the so called $σ_{k}$ curvature, has produced many fruitful result…

An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature

Classification of singular radial solutions to the σk​ Yamabe equation on annular domains

Classification of singular radial solutions to the $σ_{k}$ Yamabe equation on annular domains