Representation of surfaces in 3-dimensional lightlike cone
type: Item
instance of: scholarly article
title: Representation of surfaces in 3-dimensional lightlike cone
zbMATH Open document ID: 1242.53024
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2012-01-10T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1320763134
review text: The geometry of submanifolds of a degenerate manifold is one of the most interesting topics from theory of submanifolds. The present paper brings a contribution to this field. By using complex function theory and differential equation theory, the author obtains the representation formulas for any space-like surface and maximal space-like surface in a 3-dimensional light-like cone \(\mathbb{Q}\). This enables him to relate the geometry of space-like surfaces with the geometry of their associated surfaces in \(\mathbb{Q}\).
reviewed by: Aurel Bejancu
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 5996102
zbMATH Keywords: light-like cone
zbMATH Keywords: space-like surface
zbMATH Keywords: representation formula
zbMATH Keywords: associated surface
author: Huili Liu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5996102