A construction of closed helices with self-intersections in a complex projective space by using submanifold theory
type: Item
instance of: scholarly article
title: A construction of closed helices with self-intersections in a complex projective space by using submanifold theory
zbMATH Open document ID: 0923.53017
author: Toshiaki Adachi
author: Sadahiro Maeda
published in: Hokkaido Mathematical Journal
publication date: 1999-10-31T00:00:00Z
review text: The authors study self-intersection properties of helices in complex projective spaces. This is motivated by the fact that in a standard space of constant sectional curvature a smooth curve is a helix if and only if it is generated by a Killing vector field. The authors show that this is no longer true in the case of complex projective space. They study in detail a class of helices with self-intersection which arise from a particular isometric embedding of a flat torus into complex projective space.
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 1292208
zbMATH Keywords: helix
zbMATH Keywords: self-intersection
zbMATH Keywords: curvature
zbMATH Keywords: complex torsion
zbMATH Keywords: complex projective space
zbMATH Keywords: isometric embedding
reviewed by: Jürgen Berndt
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1351001082
OpenAlex ID: W2084787653
DOI: 10.14492/HOKMJ/1351001082
description: scientific article; zbMATH DE number 1292208