Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Markina Irina"'
The goal of this paper is to study the geometry of the Stokes graphs associated with the problem, which was introduced by Isidor Rabi in 1937 to model reactions of atoms to the harmonic electric field with frequency close to the natural frequency of
Externí odkaz:
http://arxiv.org/abs/2401.14991
We discuss the rolling, without slip and without twist, of Stiefel manifolds equipped with $\alpha$-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more general perspective, namely by investigating intrinsic rolli
Externí odkaz:
http://arxiv.org/abs/2309.14854
Autor:
Furutani, Kenro, Markina, Irina
Pseudo $H$-type Lie algebras are a special class of 2-step nilpotent metric Lie algebras, intimately related to Clifford algebras $\Cl_{r,s}$. In this work we propose the classification method for integral orthonormal structures of pseudo $H$-type Li
Externí odkaz:
http://arxiv.org/abs/2308.02806
Autor:
Grong, Erlend, Markina, Irina
We define harmonic maps between sub-Riemannian manifolds by generalizing known definitions for Riemannian manifolds. We establish conditions for when a horizontal map into a Lie group with a left-invariant metric structure is a harmonic map. We show
Externí odkaz:
http://arxiv.org/abs/2305.06096
Autor:
Franchi, Bruno, Markina, Irina
We study the families of measures on Carnot groups that have vanishing $p$-module, which we call $p$-exceptional families. We found necessary and sufficient condition for the family of intrinsic Lipschitz surfaces passing through a common point to be
Externí odkaz:
http://arxiv.org/abs/2209.08438
$H$-type foliations $(\mathbb{M},\mathcal{H},g_{\mathcal{H}})$ are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle transversal to the fibers. Equipping $\mathbb{M}$ with the Bott connecti
Externí odkaz:
http://arxiv.org/abs/2209.02168
Autor:
Molina, Mauricio Godoy, Markina, Irina
We study the interplay between geodesics on two non-holono\-mic systems that are related by the action of a Lie group on them. After some geometric preliminaries, we use the Hamiltonian formalism to write the parametric form of geodesics. We present
Externí odkaz:
http://arxiv.org/abs/2009.00965
Autor:
Franchi Bruno, Markina Irina
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 11, Iss 1, Pp 101-129 (2023)
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point
Externí odkaz:
https://doaj.org/article/eb9a3eb698514533ab1fa9c97f2f1cca
Autor:
Furutani, Kenro, Markina, Irina
In the present paper, we determine the group of automorphisms of pseudo $H$-type Lie algebras, which are two-step nilpotent Lie algebras closely related to the Clifford algebras $\Cl(\mathbb R^{r,s})$.
Comment: 38 pages, several tables. arXiv ad
Comment: 38 pages, several tables. arXiv ad
Externí odkaz:
http://arxiv.org/abs/1911.01849
Pseudo $H$-type Lie groups $G_{r,s}$ of signature $(r,s)$ are defined via a module action of the Clifford algebra $C\ell_{r,s}$ on a vector space $V \cong \mathbb{R}^{2n}$. They form a subclass of all 2-step nilpotent Lie groups and based on their al
Externí odkaz:
http://arxiv.org/abs/1901.08318