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Generalized quasi-Einstein manifolds with harmonic Weyl tensor
Generalized quasi-Einstein harmonic Weyl tensor
2011/2/28
In this paper we introduce the notion of generalized quasi–Einstein manifold, which
generalizes the concepts of Ricci soliton, Ricci almost soliton and quasi–Einstein manifolds. We prove that a compl...
Hölder Continuity of Harmonic Quasiconformal Mappings
Quasiconformal maps harmonic mappings H¨older continuity
2011/1/21
We prove that for harmonic quasiconformal mappings -H¨older continuity on the boundary implies -H¨older continuity of the map itself. Our result holds for the class of uniformly perfect bounded doma...
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
