Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Stelmastchuk, Simao N."'
Let $P(M,G)$ be a principal fiber bundle, let $\omega$ be a connection form on $P(M,G)$, and consider a projectable connection $\nabla^{P}$ on $P(M,G)$. The aim of this work is to determine the $\nabla^{P}$-martingales in $P(M,G)$. Our results allow
Externí odkaz:
http://arxiv.org/abs/2206.09996
The purpose of this paper is to describe explicitly the solution for linear control systems on Lie groups. In case of linear control systems with inner derivations, the solution is given basically by the product of the exponential of the associated i
Externí odkaz:
http://arxiv.org/abs/1911.10294
Autor:
Stelmastchuk, Simão N.
Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. When the state space is a solvable connected Lie group, controllability of the linear system is assured if the ad-rank condition holds.
Comment: Ther
Comment: Ther
Externí odkaz:
http://arxiv.org/abs/1709.08464
Autor:
Catuogno, Pedro1 pedrojc@ime.unicamp.br, Stelmastchuk, Simao N.2 simnaos@ufpr.br
Publikováno v:
Proyecciones - Journal of Mathematics. Aug2023, Vol. 42 Issue 4, p1051-1065. 15p.
The aim of this paper is to give a condition to topological conjugacy of invariant flows in an Lie group $G$ which its Lie algebra $\mathfrak{g}$ is associative algebra or semisimple. In fact, we show that if two dynamical system on $G$ are hyperboli
Externí odkaz:
http://arxiv.org/abs/1607.03022
Autor:
Stelmastchuk, Simão N.
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 this factorization to study the harmonic maps from $\mathbb{R}^n$ into $
Externí odkaz:
http://arxiv.org/abs/1506.04596
We give a stochastic generalization of transport theorem on smooth manifold. Furthermore, we deduce a system of continuity equation and present some application on torus.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1505.02134
Publikováno v:
SIGMA 11 (2015), 069, 12 pages
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 the geometry of homogeneous space. Furthermore, our work covers all type
Externí odkaz:
http://arxiv.org/abs/1404.0720
Autor:
Stelmastchuk, Simão N.
Publikováno v:
Int. J. Contemp. Math. Sciences, Vol. 8, 2013, no. 7, 307 - 326
Let $G$ be a Lie Group with a left invariant connection $\nabla^{G}$. Denote by $\g$ the Lie algebra of $G$, which is equipped with a connection $\nabla^{\g}$. Our main is to introduce the concept of the It\^o exponential and the It\^o logarithm, whi
Externí odkaz:
http://arxiv.org/abs/1106.5637
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