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3,210
Finding complete conformal metrics to extend conformal mappings
 Indiana Univ. Math. J
, 1998
"... Abstract. This paper shows how new dierential geometric approaches to univalence criteria involving the Schwarzian derivative can be applied to a classical, but very general, criterion of Nehari. We show how positive solutions to the second order ODE associated to the Schwarzian can be used to con ..."
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Cited by 5 (4 self)
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to construct complete conformal metrics. These lead to explicit formulas for homeomorphic and quasiconformal extensions of conformal mappings as generalizations of the AhlforsWeill extension. 1. Introduction. Let f be analytic in the unit disk D, and let Sf = (f 00=f 0)0 − (1=2)(f 00=f 0)2 be its Schwarzian
CLASSIFICATION OF SINGULARITIES IN THE COMPLETE CONFORMALLY FLAT YAMABE FLOW
, 705
"... Abstract. We show that an eternal solution to a complete, locally conformally flat Yamabe flow, ∂ g = −Rg, with uniformly bounded scalar curvature ∂t and positive Ricci curvature at t = 0, where the scalar curvature assumes its maximum is a gradient steady soliton. As an application of that, we stud ..."
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Abstract. We show that an eternal solution to a complete, locally conformally flat Yamabe flow, ∂ g = −Rg, with uniformly bounded scalar curvature ∂t and positive Ricci curvature at t = 0, where the scalar curvature assumes its maximum is a gradient steady soliton. As an application of that, we
Complete conformal metrics of negative Ricci curvature on compact manifolds with boundary
 Int. Math. Res. Not. IMRN
"... We study the problem of finding complete conformal metrics determined by a symmetric function of Ricci tensor in a negative convex cone on compact manifolds. A consequence of our main results is that any smooth bounded domain in Euclidean space of dimension greater or equal to 3 admits a complete co ..."
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Cited by 2 (0 self)
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We study the problem of finding complete conformal metrics determined by a symmetric function of Ricci tensor in a negative convex cone on compact manifolds. A consequence of our main results is that any smooth bounded domain in Euclidean space of dimension greater or equal to 3 admits a complete
Existence of complete conformal METRICS OF NEGATIVE RICCI CURVATURE ON MANIFOLDS WITH BOUNDARY
, 2010
"... We show that on a compact Riemannian manifold with boundary there exists u ∈ C ∞ (M) such that, u ∂ M ≡ 0andusolves the σkRicci problem. In the case k = n the metric has negative Ricci curvature. Furthermore, we show the existence of a complete conformally related metric on the interior solving t ..."
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We show that on a compact Riemannian manifold with boundary there exists u ∈ C ∞ (M) such that, u ∂ M ≡ 0andusolves the σkRicci problem. In the case k = n the metric has negative Ricci curvature. Furthermore, we show the existence of a complete conformally related metric on the interior solving
Compilation and analysis of Escherichia coli promoter DNA sequences
 NUCLEIC ACIDS RES
, 1983
"... The DNA sequence of 168 promoter regions (50 to +10) for Escherichia coli RNA polymerase were compiled. The complete listing was divided into two groups depending upon whether or not the promoter had been defined by genetic (promoter mutations) or biochemical (5 ' end determination) criteria. ..."
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Cited by 323 (0 self)
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The DNA sequence of 168 promoter regions (50 to +10) for Escherichia coli RNA polymerase were compiled. The complete listing was divided into two groups depending upon whether or not the promoter had been defined by genetic (promoter mutations) or biochemical (5 ' end determination) criteria
A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface
, 2004
"... Let h be a complete metric of Gaussian curvatureK0 on a punctured Riemann surface of genus g 1 (or the sphere with at least three punctures). Given a smooth negative function K with K D K0 in neighbourhoods of the punctures we prove that there exists a metric conformal to h which attains this fun ..."
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Cited by 2 (1 self)
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Let h be a complete metric of Gaussian curvatureK0 on a punctured Riemann surface of genus g 1 (or the sphere with at least three punctures). Given a smooth negative function K with K D K0 in neighbourhoods of the punctures we prove that there exists a metric conformal to h which attains
Conformal properties of fourgluon Planar Amplitudes and Wilson Loops
, 2008
"... We present further evidence for a dual conformal symmetry in the fourgluon planar scattering amplitude in N = 4 SYM. We show that all the momentum integrals appearing in the perturbative onshell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming th ..."
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Cited by 197 (19 self)
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that the complete offshell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite
Protein Folding in the HydrophobicHydrophilic (HP) Model is NPcomplete
, 1998
"... One of the simplest and most popular biophysical models of protein folding is the hydrophobichydrophilic (HP) model. The HP model abstracts the hydrophobic interaction in protein folding by labeling the amino acids as hydrophobic (H for nonpolar) or hydrophilic (P for polar). Chains of amino acid ..."
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Cited by 156 (0 self)
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acids are con6gured as selfavoiding nalks on the 3D cubic lattice, where an optimal conformation maximizes the number of adjacencies between H’s. In this paper, the protein folding problem under the HP model on the cubic lattice is shown to be NPcomplete. This means that the protein folding problem
Classification of Kleinian groups
, 1974
"... We present here a complete classification of those Kleinian groups which have an invariant region of discontinuity and which, in their action on hyperbolic 3space, have a finitesided fundamental polyhedron. This classification is complete in the same sense that finitelygenerated Fuchsian groups o ..."
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Cited by 208 (5 self)
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We present here a complete classification of those Kleinian groups which have an invariant region of discontinuity and which, in their action on hyperbolic 3space, have a finitesided fundamental polyhedron. This classification is complete in the same sense that finitelygenerated Fuchsian groups
Results 1  10
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3,210