On 3-dimensional Asymptotically Harmonic Manifolds

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Locally Minimizing Smooth Harmonic Maps from Asymptotically Flat Manifolds into Spheres

By minimizing the so–called relative energy, we show that there exists a family of locally minimizing smooth harmonic maps from asymptotically flat manifolds into the standard sphere.

On three-dimensional $N(k)$-paracontact metric manifolds and Ricci solitons

The aim of this paper is to characterize $3$-dimensional $N(k)$-paracontact metric manifolds satisfying certain curvature conditions. We prove that a $3$-dimensional $N(k)$-paracontact metric manifold $M$ admits a Ricci soliton whose potential vector field is the Reeb vector field $xi$ if and only if the manifold is a paraSasaki-Einstein manifold. Several consequences of this result are discuss...

Cubature formulas and discrete fourier transform on compact manifolds

Analysis on two dimensional surfaces and in particular on the sphere S found many applications in computerized tomography, statistics, signal analysis, seismology, weather prediction, and computer vision. During last years many problems of classical harmonic analysis were developed for functions on manifolds and especially for functions on spheres: splines, interpolation, approximation, differe...

Harmonic Morphisms with One-dimensional Fibres on Conformally-flat Riemannian Manifolds

We classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four, and (2) between conformally-flat Riemannian manifolds of dimensions at least three.