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Universal covers of non-negatively curved manifolds and formality
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold...
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On the Stability of Killing Cylinders in Hyperbolic Space
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem....
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Harmonic Morphisms from Fefferman Spaces
We study a ramification of a phenomenon discovered by Baird and Eells (in: Looijenga et al (eds) Geometry Symposium Utrecht 1980. Lecture Notes in...
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Rigidity of Free Boundary Minimal Disks in Mean Convex Three-Manifolds
The purpose of this article is to study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian...
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Hardy-Littlewood Type Theorems and a Hopf Type Lemma
The main aim of this paper is to investigate Hardy-Littlewood type Theorems and a Hopf type lemma on functions induced by a differential operator. We...
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Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
The optimal control problems for the wave equation are considered on networks. The turnpike property is shown for the state equation, the adjoint...
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Geometric Description of Some Loewner Chains with Infinitely Many Slits
We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a...
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A Non-spin Method to the Positive Weighted Mass Theorem for Weighted Manifolds
In this paper, we investigate the weighted mass for weighted manifolds. By establishing a version of density theorem and generalizing Geroch...
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On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit 3-Ball
We prove that the area of each nonflat genus zero free boundary minimal surface embedded in the unit 3-ball is less than the area of its radial...
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Logarithmic Sobolev-Type Inequalities on Lie Groups
In this paper we show a number of logarithmic inequalities on several classes of Lie groups: log-Sobolev inequalities on general Lie groups,...
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The Gauss Images of Complete Minimal Surfaces of Genus Zero of Finite Total Curvature
This paper aims to present a systematic study on the Gauss images of complete minimal surfaces of genus 0 of finite total curvature in Euclidean...
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Inverse Problem of the Thermoelastic Plate System with a Curved Middle Surface and Memory Term
This paper is concerned with an inverse problem of a coupled thermoelastic plate model. Two major features are that the thermal equation has a memory...