XXI Geometrical Seminar, Book of Abstracts
(Faculty of Mathematics, University of Belgrade, Serbia)
•01 Apr 2024
Small deformations, variations and energies of curves
Najdanović, Marija
Abstract
Contrary to isometries as transformations that preserve distances, in-
finitesimal bending is a type of small deformation in which the arc length
is invariant with appropriate precision. The influence that given deforma-
tions have on geometric quantities is measured by variations. In this talk we
discuss the infinitesimal bending of curves and variations of their energies.
In particular, we consider spherical curves and an infinitesimal bending field
that leaves a given curve on a sphere with a predetermined deviation.
Funding
Ministry of Education, Science and Technological Development, Serbia [451-03-68/2020-14/20-0123]
Author: Najdanović, Marija
isbn: 978-86-7589-158-1
M kategorija: M34
Vrsta rada:konferencijski prilog
Funding: Ministry of Education, Science and Technological Development, Serbia [451-03-68/2020-14/20-0123]
Abstract
Contrary to isometries as transformations that preserve distances, in- finitesimal bending is a type of small deformation in which the arc length is invariant with appropriate precision. The influence that given deforma- tions have on geometric quantities is measured by variations. In this talk we discuss the infinitesimal bending of curves and variations of their energies. In particular, we consider spherical curves and an infinitesimal bending field that leaves a given curve on a sphere with a predetermined deviation.