Mixed type surfaces with bounded mean curvature in 3-dimensional space-times

Atsufumi Honda, Miyuki Koiso, Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surfaces only if the mean curvature functions tend to zero. Moreover, we shall show the existence of such surfaces with non-vanishing mean curvature and investigate their properties.

Original languageEnglish
Pages (from-to)64-77
Number of pages14
JournalDifferential Geometry and its Application
Volume52
DOIs
Publication statusPublished - Jun 1 2017

Fingerprint

Mean Curvature
Space-time
Spacelike Surface
Causality
Tend
Zero

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

Cite this

Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. / Honda, Atsufumi; Koiso, Miyuki; Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro.

In: Differential Geometry and its Application, Vol. 52, 01.06.2017, p. 64-77.

Research output: Contribution to journalArticle

Honda, Atsufumi ; Koiso, Miyuki ; Kokubu, Masatoshi ; Umehara, Masaaki ; Yamada, Kotaro. / Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. In: Differential Geometry and its Application. 2017 ; Vol. 52. pp. 64-77.
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