3 citations · 6 across the 12 of their papers we have counts for
12 papers
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…
Relativistic mechanics on rotating disk
V. Bashkov, M. Malakhaltsev
We find equations of particle motion from the point of view of observer on a rotating disk, and demonstrate that a particle moving along a rotating disk is influenced by forces ari…
Geometry of rotating disk and the Sagnac effect
V. I. Bashkov, M. A. Malakhaltsev
In this paper we demonstrate that subsequent application of Lorentz transformations to the cylindrical coordinates on a rotating disk leaves the Euclidean metric invariant. Therefo…