J. R. Arteaga

collaborators

6 papers

math.DG2011

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 4

J. R. Arteaga, M. Malakhaltsev

This is the lecture 4 of a mini-course of 4 lectures. Our purpose of this mini-curse is to explain some ideas of E. Cartan and S. Lie when we study differential geometry, particula…

math.DG2011

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 3

J. R. Arteaga, M. Malakhaltsev

This is the lecture 3 of a mini-course of 4 lectures. Our purpose of this mini-curse is to explain some ideas of E. Cartan and S. Lie when we study differential geometry, particula…

math.DG2011

Ideas of E. Cartan and S. Lie in modern geometry: $G$ -structures and differential equations. Lecture 1

J. R. Arteaga, M. Malakhaltsev

This is the lecture 1 of a mini-course of 4 lectures. Our purpose of this mini-curse is to explain some ideas of E. Cartan and S. Lie when we study differential geometry, particula…

math.DG2011

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 2

J. R. Arteaga, M. Malakhaltsev

This is the lecture 2 of a mini-course of 4 lectures. Our purpose of this mini-curse is to explain some ideas of E. Cartan and S. Lie when we study differential geometry, particula…

math.DG2009

Symmetries of sub-Riemannian surfaces

Mikhail Armenovich Malakhaltsev, José Ricardo Arteaga

We obtain some results on symmetries of sub-Riemannian surfaces. In case of contact sub-Riemannian surface we base on invariants found by Hughen \cite{Hughen}. Using these invarian…

math.DG2009

Wagner Lift of Riemannian metric to Orthogonal Frame Bundle

Jose Ricardo Arteaga, Mikhail Malakhaltsev

In the present work we construct a lift of a metric $g$ on a 2-dimensional oriented Riemannian manifold $M$ to a metric $g^$ on the total space $P$ of the orthonormal frame bu…

Ideas of E.~Cartan and S.~Lie in modern geometry: G-structures and differential equations. Lecture 4

Ideas of E.~Cartan and S.~Lie in modern geometry: G-structures and differential equations. Lecture 3

Ideas of E. Cartan and S. Lie in modern geometry: G-structures and differential equations. Lecture 1

Ideas of E.~Cartan and S.~Lie in modern geometry: G-structures and differential equations. Lecture 2

Symmetries of sub-Riemannian surfaces

Wagner Lift of Riemannian metric to Orthogonal Frame Bundle

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 4

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 3

Ideas of E. Cartan and S. Lie in modern geometry: $G$ -structures and differential equations. Lecture 1

Ideas of E.~Cartan and S.~Lie in modern geometry: $G$ -structures and differential equations. Lecture 2