Search Results - "Viaclovsky, Jeff A."

EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES by HAN, JIYUAN, VIACLOVSKY, JEFF A.

“…Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler…”
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Conformal geometry, contact geometry, and the calculus of variations by Viaclovsky, Jeff A.

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MONOPOLE METRICS AND THE ORBIFOLD YAMABE PROBLEM by VIACLOVSKY, Jeff A

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A new variational characterization of three-dimensional space forms by Gursky, Matthew J., Viaclovsky, Jeff A.

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Prescribing Symmetric Functions of the Eigenvalues of the Ricci Tensor by Gursky, Matthew J., Viaclovsky, Jeff A.

“…We study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Ricci tensor. We prove an existence theorem…”
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Asymptotics of the Self-Dual Deformation Complex by Ache, Antonio G., Viaclovsky, Jeff A.

“…We analyze the indicial roots of the self-dual deformation complex on a cylinder , where Y 3 is a space of constant curvature. An application is the optimal…”
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Fully Nonlinear Equations on Riemannian Manifolds with Negative Curvature by Gursky, Matthew J., Viaclovsky, Jeff A.

“…It is proved that every compact Riemannian manifold of dimension n ≥ 3 with negative Ricci curvature is conformal to a metric with det(Ric) = constant. This is…”
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Volume comparison and the σk-Yamabe problem by Gursky, Matthew J, Viaclovsky, Jeff A

“…In this paper we study the problem of finding a conformal metric with the property that the kth elementary symmetric polynomial of the eigenvalues of its…”
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Conformally invariant Monge-Ampère equations: Global solutions by Viaclovsky, Jeff A.

“…In this paper we will examine a class of fully nonlinear partial differential equations which are invariant under the conformal group \linebreak SO(n+1,1)…”
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The Mass of The Product of Spheres by Viaclovsky, Jeff A.

“…Any compact manifold with positive scalar curvature has an associated asymptotically flat metric constructed using the Green’s function of the conformal…”
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Critical metrics on connected sums of Einstein four-manifolds by Gursky, Matthew J., Viaclovsky, Jeff A.

“…We develop a gluing procedure designed to obtain canonical metrics on connected sums of Einstein four-manifolds. The main application is an existence result,…”
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An Index Theorem on Anti-Self-Dual Orbifolds by Viaclovsky, Jeff A.

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An index theorem for anti-self-dual orbifold-cone metrics by Lock, Michael T., Viaclovsky, Jeff A.

“…Recently, Atiyah and LeBrun proved versions of the Gauss–Bonnet and Hirzebruch signature theorems for metrics with edge-cone singularities in dimension four,…”
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Obstruction-flat asymptotically locally Euclidean metrics by Ache, Antonio G., Viaclovsky, Jeff A.

“…We show that any asymptotically locally Euclidean (ALE) metric which is obstruction-flat or extended obstruction-flat must be ALE of a certain optimal order…”
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Existence and compactness theory for ALE scalar-flat K\"ahler surfaces by Han, Jiyuan, Viaclovsky, Jeff A

“…Forum of Mathematics, Sigma 8 (2020) e1 Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically…”
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Local moduli of scalar-flat K\"ahler ALE surfaces by Han, Jiyuan, Viaclovsky, Jeff A

“…In this article, we give a survey of our construction of a local moduli space of scalar-flat K\"ahler ALE metrics in complex dimension $2$. We also prove an…”
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A variational characterization for [sigma][sub n/2] by Brendle, Simon, Viaclovsky, Jeff A

“…We present here a conformal variational characterization in dimension n = 2k of the equation sigma{k}(Ag) = constant, where A is the Schouten tensor. Using the…”
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The Calabi metric and desingularization of Einstein orbifolds by Morteza, Peyman, Viaclovsky, Jeff A

“…Consider an Einstein orbifold $(M_0,g_0)$ of real dimension $2n$ having a singularity with orbifold group the cyclic group of order $n$ in ${\rm{SU}}(n)$ which…”
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Deformation theory of scalar-flat K\"ahler ALE surfaces by Han, Jiyuan, Viaclovsky, Jeff A

“…We prove a Kuranishi-type theorem for deformations of complex structures on ALE K\"ahler surfaces. This is used to prove that for any scalar-flat K\"ahler ALE…”
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Critical Metrics for Riemannian Curvature Functionals by Viaclovsky, Jeff A

“…This article is based upon lectures given at the 2013 IAS/Park City Mathematics Institute summer program in geometric analysis…”
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