Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2008; 45(1): 41-61

Printed January 1, 2008

Copyright © The Korean Mathematical Society.

Lorentzian surfaces with constant curvatures and transformations in the 3-dimensional Lorentzian space

Joonsang Park

Dongguk University

Abstract

Go to

We study Lorentzian surfaces with the constant Gaussian curvatures or the constant mean curvatures in the 3-dimensional Lorentzian space and their transformations. Such surfaces are associated to the Lorentzian Grassmannian systems and some transformations on such surfaces are given by dressing actions on those systems.

Keywords: spacelike surface, timelike surface, Gaussian curvature, mean curvature,(elliptic) sine-Gordon, (hyperbolic) sinh-Gordon, Grassmannian system

MSC numbers: 57N35

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +