Search Results - "Viaclovsky, Jeff"

Conformally Prescribed Scalar Curvature on Orbifolds by Ju, Tao, Viaclovsky, Jeff

“…We study the prescribed scalar curvature problem in a conformal class on orbifolds with isolated singularities. We prove a compactness theorem in dimension 4,…”
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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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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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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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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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Gravitational instantons with quadratic volume growth by Chen, Gao, Viaclovsky, Jeff

“…There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG$\operatorname{ALG}$ and…”
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Some properties of the Schouten tensor and applications to conformal geometry by Guan, Pengfei, Viaclovsky, Jeff, Wang, Guofang

“…The Riemannian curvature tensor decomposes into a conformally invariant part, the Weyl tensor, and a non-conformally invariant part, the Schouten tensor. A…”
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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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A new variational characterization of three-dimensional space forms by Gursky, Matthew J., Viaclovsky, Jeff A.

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Torelli-type theorems for gravitational instantons with quadratic volume growth by Chen, Gao, Viaclovsky, Jeff, Zhang, Ruobing

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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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Twistor geometry and warped product orthogonal complex structures by Borisov, Lev, Salamon, Simon, Viaclovsky, Jeff

“…The twistor space of the sphere S 2 n is an isotropic Grassmannian that fibers over S 2 n . An orthogonal complex structure (OCS) on a subdomain of S 2 n (a…”
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Fibrations on the 6-sphere and Clemens threefolds by Honda, Nobuhiro, Viaclovsky, Jeff

“…Let $Z$ be a compact, connected $3$-dimensional complex manifold with vanishing first and second Betti numbers and non-vanishing Euler characteristic. We prove…”
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