S. Stelmastchuk

activity

20092026

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math.DG2015

A factorization of harmonic maps into Semisimple Lie groups

Simão N. Stelmastchuk

We factorize harmonic maps with values in a semisimple Lie groups in a product of harmonic maps with values in the components of the Iwasawa decomposition. In particular, we use th…

math.DG2014

Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Alexandre J. Santana, Simão N. Stelmastchuk

Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from th…

math.DG2009

A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections

S. N. Stelmastchuk

Let $G$ be a Lie Group with a left invariant connection such that its connection function is skew-symmetric. Our main goal is to show a version of Pluzhnikov's Theorem for this kin…

math.DG2009

An equivalence between harmonic sections and sections that are harmonic maps

S. N. Stelmastchuk

Let $π : (E, \nabla^{E}) \to (M, g)$ be an affine submersion with horizontal distribution, where $\nabla^{E}$ is a symmetric connection and $M$ is a Riemannian manifold. Let $σ$ be a s…

math.DG2009

A characterization of Einstein manifolds

S. N. Stelmastchuk

In this work we wish characterize the Einstein manifolds $(M, g)$ , however without the necessity of hypothesis of compactness over $M$ and unitary volume of $g$ , which are well know…

math.DG2009

Stochastic characterization of harmonic sections and a Liouville theorem

S. N. Stelmastchuk

Let $P (M, G)$ be a principal fiber bundle and $E (M, N, G, P)$ be an associate fiber bundle. Our interested is to study harmonic sections of the projection $π_{E}$ of $E$ into $M$ . Our…