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20012026
most citedEstimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds

128 citations · 429 across the 36 of their papers we have counts for

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Showing 2003Show all

3 papers · 1 filter

math.DG2003

Moduli spaces of critical Riemannian metrics in dimension four

Jeff Viaclovsky, Gang Tian

We obtain a compactness result for various classes of Riemannian metrics in dimension four; in particular our method applies to anti-self-dual metrics, Kahler metrics with constant…

math.DG2003★ 103 cited

Bach-flat asymptotically locally Euclidean metrics

Gang Tian, Jeff Viaclovsky

We obtain a volume growth and curvature decay result for various classes of complete, noncompact Riemannian metrics in dimension 4; in particular our method applies to anti-self-du…

math.DG2003★ 4 cited

A fully nonlinear equation on 4-manifolds with positive scalar curvature

Matthew Gursky, Jeff Viaclovsky

We present a conformal deformation involving a fully nonlinear equation in dimension 4, starting with positive scalar curvature. Assuming a certain conformal invariant is positive,…