Corpus ID: 118574542

Course of differential geometry

@article{Sharipov2004CourseOD,
  title={Course of differential geometry},
  author={R. Sharipov},
  journal={arXiv: History and Overview},
  year={2004}
}
  • R. Sharipov
  • Published 2004
  • Mathematics
  • arXiv: History and Overview
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject. 
Closed geodesics on part of a toral surface
Geodesics in that part of a toroidal manifold containing the major equator of a torus are studied. The local and global properties of the geodesics are analyzed by taking the integrals along them.Expand
Lorentz-invariant gravitation theory.
Using the results of chapter 2 in this chapter, we will list the quantum equations and relationships which correspond to our goal the construction of the LIGT. Then we consider the transition fromExpand
Some Exercises with Equations of Meshing: Review of Fundamental Manuscript
  • V. Goldfarb
  • Computer Science
  • Gears in Design, Production and Education
  • 2021
The manuscript by Professor V. I. Goldfarb discusses approaches to obtaining the equation of the enveloping surface for a one-parameter family of surfaces, which is usually called in the theory ofExpand
Local geometrical properties of magnetic configurations with nested equilibrium magnetic surfaces
The complete set of universal local relationships between geometrical (the curvature and torsion of the force lines of the magnetic field and the field complementary to it) and magnetic (|B|, |▿Φ|, bExpand
Geometrical modeling of a metallic mesh deformation of the parabolic reflector
A geometrical model of the well-known “mattress” effect, which is similar to the one observed at the opening of an umbrella, is built. The main hypothesis is that the surface of metallic mesh of aExpand
To the theory of optimal splines
  • V. K. Isaev
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2010
TLDR
This paper reviews some results on the Pontryagin splines and gives someresults on the Lurie splines, that arise in the problem of interpolation of a cylindrical type surface given by the family of table coplanar planes. Expand
On a hydrogen atom
We represent the deterministic substitute of the Schrödinger equation for a hydrogen atom in precise accordance with the Bohm-de Broglie interpretation of quantum mechanics. To construct aExpand
Mathematical model of forming screw profiles of compressor machines and pumps
The article presents the results of mathematical modeling of screw surfaces shaping for compressor machines and pumps. The study is based on a method of curve movable trihedron. A mathematical modelExpand
Relationship between the shape of equilibrium magnetic surfaces and the magnetic field strength
A local analysis of the magnetic field near an equilibrium magnetic surface shows that there is generally no relationship between the magnetic field strength and the shape of the surface. However,Expand
Analyzing the composition-property diagrams of multicomponent liquid mixtures
We consider the local regularities of the composition-intensive/specific property diagrams of multicomponent mixtures in which composition is a scalar function of a vector argument. A topographicalExpand
...
1
2
3
...