3 citations · 6 across the 12 of their papers we have counts for
10 papers · 1 filter
A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems. Part II
F. A. Arias, M. Malakhaltsev
This paper is a continuation of the paper F. A. Arias and M. Malakhaltsev "A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems", ArXiv:1510.01395 [MathDG] 5 Oct 2015. L…
A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems
F. A. Arias, M. Malakhaltsev
We consider a locally trivial fiber bundle over a compact oriented two-dimensional manifold , and a section of this bundle defined over , where $…
Ideas of E.~Cartan and S.~Lie in modern geometry: -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…
Ideas of E.~Cartan and S.~Lie in modern geometry: -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…
Ideas of E. Cartan and S. Lie in modern geometry: -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…
Ideas of E.~Cartan and S.~Lie in modern geometry: -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…
Isometry group and geodesics of the Wagner lift of a riemannian metric on two-dimensional manifold
José Ricardo Arteaga B., Mikhail Malakhaltsev
In this paper we construct a functor from the category of two-dimensional Riemannian manifolds to the category of three-dimensional manifolds with generalized metric tensors. For e…
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…
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 on a 2-dimensional oriented Riemannian manifold to a metric on the total space of the orthonormal frame bu…
A remark on Ricci flow of left invariant metrics
J. A. Arteaga, M. A. Malakhaltsev
We prove that the Ricci flow equation for left invariant metrics on Lie groups reduces to a first order ordinary differential equation for a map , where is…