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Natural Differential Invariants and Equivalence of Third Order Nonlinear Differential Operators
AbstractWe give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third...
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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds
This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, MSIPSC) in the...
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Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
We define renormalised energies for maps that describe the first-order asymptotics of harmonic maps outside of singularities arising due to...
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Introduction
The goal of these notes is to make accessible to interested readers a case study where two prominent avenues of research of geometric analysis, Ricci...
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On the Dynamics of a Heavy Symmetric Ball that Rolls Without Sliding on a Uniformly Rotating Surface of Revolution
We study the class of nonholonomic mechanical systems formed by a heavy symmetric ball that rolls without sliding on a surface of revolution, which...
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Naturally Reductive (α1, α2) Metrics
Letting F be a homogeneous ( α 1 , α 2 ) metric on the reductive homogeneous manifold G / H , we first characterize the natural reductiveness of F as a local f ...
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Uniqueness of Constant Mean Curvature Spheres
We survey on the problem of finding all constant mean curvature two-spheres inside a given ambient Riemannian three-manifold. While this task is...
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Collective Dynamics and Bifurcations in Symmetric Networks of Phase Oscillators. I
The present paper is a brief survey of the history and development of the famous Kuramoto model of coupled phase oscillators. We consider several...
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Collective Dynamics and Bifurcations in Symmetric Networks of Phase Oscillators. II
The present paper is the second part of a brief survey of development of the Kuramoto model of coupled phase oscillators. We consider several systems...
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Almost CR manifolds with contracting CR automorphism
In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR...
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On Mean Cartan Torsion of Finsler Metrics
We prove that Finsler manifolds with unbounded mean Cartan torsion cannot be isometrically imbedded into any Minkowski space. We also study the...
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Equivariant Solutions to the Optimal Partition Problem for the Prescribed Q-Curvature Equation
We study the optimal partition problem for the prescribed constant Q -curvature equation induced by the higher-order conformal operators under the...
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Non-Nehari Manifold Method for Hamiltonian Elliptic System with Hardy Potential: Existence and Asymptotic Properties of Ground State Solution
This paper is dedicated to studying ground state solution for a class of Hamiltonian elliptic system with gradient term and inverse square potential....
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The Rational Homology Ring of the Based Loop Space of the Gauge Groups and the Spaces of Connections on a Four-Manifold
We provide a rational-homotopic proof that the ranks of the homotopy groups of a simply connected four-manifold depend only on its second Betti...
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On homogeneous geodesics and weakly symmetric spaces
In this paper, we establish a sufficient condition for a geodesic in a Riemannian manifold to be homogeneous, i.e. an orbit of an 1-parameter...
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A Structure Theorem for Neighborhoods of Compact Complex Manifolds
We construct an injective map from the set of holomorphic equivalence classes of neighborhoods M of a compact complex manifold C into
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Point processes, cost, and the growth of rank in locally compact groups
Let G be a locally compact, second countable, unimodular group that is nondiscrete and noncompact. We explore the ergodic theory of invariant point...
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Essential Spectrum and Feller Type Properties
We give necessary and sufficient conditions for a regular semi-Dirichlet form to enjoy a new Feller type property, which we call weak Feller property ....
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Almost Kenmotsu 3-Manifolds with Pseudo-Parallel Characteristic Jacobi Operator
In this paper, we treat parallelism of the characteristic Jacobi operator in an almost Kenmotsu 3-manifold. First, we show that there exist no almost...