Project MUSE®: American Journal of Mathematics - Latest Articles
http://muse.jhu.edu/journal/5
Project MUSE®: Latest articles in Africa Today.daily12016-09-28T00:00:00-05:00text/htmlen-USThe Johns Hopkins University PressVol. 118 (1996) through current issueLatest Articles: American Journal of MathematicsTWOProject MUSE®American Journal of Mathematics1080-63770002-9327Latest articles in American Journal of Mathematics. Feed provided by Project MUSE®On an inverse ternary Goldbach problem
http://muse.jhu.edu/article/631951
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We prove an inverse ternary Goldbach-type result. Let N be sufficiently large and c > 0 be sufficiently small. If A1, A2, A3 ⊂ [N] are subsets with |A1|, |A2|, |A3|≥ N1/3−c, then A1 + A2 + A3 contains a composite number. This improves on the bound N1/3+o(1) obtained by using Gallagher’s larger sieve. The main ingredients in our argument include a type of inverse sieve result in the larger sieve regime, and a variant of the analytic large sieve
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallOn an inverse ternary Goldbach problem2016-09-27text/htmlen-USThe Johns Hopkins University PressOn an inverse ternary Goldbach problem2016-09-272016TWOProject MUSE®155452016-09-28T00:00:00-05:002016-09-27Quintic NLS in the exterior of a strictly convex obstacle
http://muse.jhu.edu/article/631952
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We consider the defocusing energy-critical nonlinear Schrödinger equation in the exterior of a smooth compact strictly convex obstacle in three dimensions. For the initial-value problem with Dirichlet boundary condition we prove global well-posedness and scattering for all initial data in the energy
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallQuintic NLS in the exterior of a strictly convex obstacle2016-09-27text/htmlen-USThe Johns Hopkins University PressQuintic NLS in the exterior of a strictly convex obstacle2016-09-272016TWOProject MUSE®680702016-09-28T00:00:00-05:002016-09-27The Classification of CMC foliations of {\Bbb R}^3 and {\Bbb S}^3 with countably many singularities
http://muse.jhu.edu/article/631953
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In this paper we generalize our previous Local Removable Singularity Theorem for minimal laminations to the case of weak H-laminations (with H ∈ ℝ constant) in a punctured ball of a Riemannian three-manifold. We also obtain a curvature estimate for any weak CMC foliation (with possibly varying constant mean curvature from leaf to leaf) of a compact Riemannian three-manifold N with boundary solely in terms of a bound of the absolute sectional curvature of N and of the distance to the boundary of N. We then apply these results to classify weak CMC foliations of ℝ3 and 3 with a closed countable set of
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallThe Classification of CMC foliations of {\Bbb R}^3 and {\Bbb S}^3 with countably many singularities2016-09-27text/htmlen-USThe Johns Hopkins University PressThe Classification of CMC foliations of {\Bbb R}^3 and {\Bbb S}^3 with countably many singularities2016-09-272016TWOProject MUSE®243972016-09-28T00:00:00-05:002016-09-27Representations of the alternating group which are irreducible over subgroups, II
http://muse.jhu.edu/article/631954
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We prove that non-trivial representations of the alternating group An are reducible over a primitive proper subgroup which is isomorphic to some alternating group Am. A similar result is established for finite simple classical groups embedded in An via their standard rank 3 permutation
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallRepresentations of the alternating group which are irreducible over subgroups, II2016-09-27text/htmlen-USThe Johns Hopkins University PressRepresentations of the alternating group which are irreducible over subgroups, II2016-09-272016TWOProject MUSE®364152016-09-28T00:00:00-05:002016-09-27The fixed point property in every weak homotopy type
http://muse.jhu.edu/article/631955
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We prove that for any connected compact CW-complex K there exists a space X weak homotopy equivalent to K which has the fixed point property, that is, every continuous map X → X has a fixed point. The result is known to be false if we require X to be a polyhedron. The space X we construct is a non-Hausdorff space with finitely many
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallThe fixed point property in every weak homotopy type2016-09-27text/htmlen-USThe Johns Hopkins University PressThe fixed point property in every weak homotopy type2016-09-272016TWOProject MUSE®96742016-09-28T00:00:00-05:002016-09-27Smoothness of subRiemannian isometries
http://muse.jhu.edu/article/631956
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We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are
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Project MUSE®http://muse.jhu.edu/2016-09-28T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallSmoothness of subRiemannian isometries2016-09-27text/htmlen-USThe Johns Hopkins University PressSmoothness of subRiemannian isometries2016-09-272016TWOProject MUSE®237102016-09-28T00:00:00-05:002016-09-27