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 | |
| Publication status | Published - Jun 1 2017 |
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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 journal › Article
}
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.
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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 -