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

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

doi:10.1016/j.difgeo.2017.03.009

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

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

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	64-77
Number of pages	14
Journal	Differential Geometry and its Application
Volume	52
DOIs	https://doi.org/10.1016/j.difgeo.2017.03.009
Publication status	Published - Jun 1 2017

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

Access to Document

10.1016/j.difgeo.2017.03.009

Fingerprint Dive into the research topics of 'Mixed type surfaces with bounded mean curvature in 3-dimensional space-times'. Together they form a unique fingerprint.

Cite this

@article{4a00599a35ad4562aeaff175d5e400af,

title = "Mixed type surfaces with bounded mean curvature in 3-dimensional space-times",

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.",

author = "Atsufumi Honda and Miyuki Koiso and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada",

year = "2017",

month = jun,

day = "1",

doi = "10.1016/j.difgeo.2017.03.009",

language = "English",

volume = "52",

pages = "64--77",

journal = "Differential Geometry and its Applications",

issn = "0926-2245",

publisher = "Elsevier",

}

TY - JOUR

T1 - Mixed type surfaces with bounded mean curvature in 3-dimensional space-times

AU - Honda, Atsufumi

AU - Koiso, Miyuki

AU - Kokubu, Masatoshi

AU - Umehara, Masaaki

AU - Yamada, Kotaro

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85016579645&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85016579645&partnerID=8YFLogxK

U2 - 10.1016/j.difgeo.2017.03.009

DO - 10.1016/j.difgeo.2017.03.009

M3 - Article

AN - SCOPUS:85016579645

VL - 52

SP - 64

EP - 77

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

SN - 0926-2245

ER -