Differential geometry of moving surfaces and its relation to solitons
type: Item
instance of: scholarly article
title: Differential geometry of moving surfaces and its relation to solitons
zbMATH Open document ID: 1247.37081
author: Andrei Ludu
published in: Journal of Geometry and Symmetry in Physics
publication date: 2011-12-19T00:00:00Z
review text: The author presents a survey of the geometrical theory of motion of curves and surfaces in the three dimensional space, and its relations with nonlinear integrable systems. The working frame is the Cartan theory of moving frames together with a Cartan connection. The formalism for the motion of curves is constructed in the Serret-Frenet frames as elements of the bundle of adapted frames. The motion of surfaces is investigated in the Gauss-Weingarten frame. The main aim is to present relations between types of motions and nonlinear equations and their soliton solutions.
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 5990109
zbMATH Keywords: solitions
zbMATH Keywords: moving surfaces
zbMATH Keywords: Cartan theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5990109