The normal map as a vector field
T Waters, M Cherrie - arXiv preprint arXiv:2209.04279, 2022 - arxiv.org
In this paper we consider the normal map of a closed plane curve as a vector field on the
cylinder. We interpret the critical points geometrically and study their Poincar\'{e} index …
cylinder. We interpret the critical points geometrically and study their Poincar\'{e} index …
Triangles and electrostatic ion traps
G Giorgadze, G Khimshiashvili - Journal of Mathematical Physics, 2021 - pubs.aip.org
We consider the equilibrium points of the electrostatic potential of three mutually repelling
point charges with Coulomb interaction placed at the vertices of a given triangle T. It is …
point charges with Coulomb interaction placed at the vertices of a given triangle T. It is …
[HTML][HTML] Equilibria of three constrained point charges
G Khimshiashvili, G Panina, D Siersma - Journal of Geometry and Physics, 2016 - Elsevier
We study the critical points of Coulomb energy considered as a function on configuration
spaces associated with certain geometric constraints. Two settings of such kind are …
spaces associated with certain geometric constraints. Two settings of such kind are …
On equilibrium concyclic configurations
GK Giorgadze, GN Khimshiashvili - Doklady Mathematics, 2018 - Springer
On Equilibrium Concyclic Configurations = ∑ , Page 1 377 ISSN 1064-5624, Doklady
Mathematics, 2018, Vol. 98, No. 1, pp. 377–381. © Pleiades Publishing, Ltd., 2018. Original …
Mathematics, 2018, Vol. 98, No. 1, pp. 377–381. © Pleiades Publishing, Ltd., 2018. Original …
[PDF][PDF] Configuration of poinnts as Coulomb equilibria
G Khimshiashvili - Bull. Georgian Nat. Acad. Sci, 2011 - science.org.ge
We discuss various aspects of a general problem naturally arising in the framework of an
approach to inverse problems of electrostatics. In particular, we describe some …
approach to inverse problems of electrostatics. In particular, we describe some …
[PDF][PDF] Equilibria of Point Charges on Nested Circles
G Giorgadze, G Khimshiashvili - Bull. Georgian Natl. Acad. Sci, 2015 - science.org.ge
We discuss a natural problem concerned with equilibrium configurations of Coulomb
potential of three positive point charges constrained to a system of nested circles in the …
potential of three positive point charges constrained to a system of nested circles in the …
Equilibria of Three Point Charges with Quadratic Constraints
G Giorgadze, G Khimshiashvili - Journal of Mathematical Sciences, 2019 - Springer
We discuss equilibrium configurations of the Coulomb potential of positive point charges
with positions satisfying certain quadratic constraints in the plane and three-dimensional …
with positions satisfying certain quadratic constraints in the plane and three-dimensional …
[PDF][PDF] WISKUNDE MET EEN GULLE LACH
D SIERSMA - staff.science.uu.nl
Ik herinner me nog de promotie van Henk op vrijdag 19 october 1979 in Groningen. Wellicht
was dat de eerste keer, dat ik hem ontmoette. Op dezelfde dag was er ook de promotie van …
was dat de eerste keer, dat ik hem ontmoette. Op dezelfde dag was er ook de promotie van …
[引用][C] О равновесных конциклических конфигурациях
ГК Гиоргадзе, ГН Химшиашвили - Доклады Академии наук, 2018 - elibrary.ru
Изучается задача характеризации кулоновских равновесных конфигураций на
окружности, отрезке и системе трёх концентрических окружностей. Получено …
окружности, отрезке и системе трёх концентрических окружностей. Получено …