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
N1 - Funding Information:
The first and the second authors were partially supported by Grant-in-Aid for Challenging Exploratory Research No. 26610016 of the Japan Society for the Promotion of Science. The second author was partially supported by Grant-in-Aid for Scientific Research (B) No. 25287012 from Japan Society for the Promotion of Science. The fourth author was partially supported by the Grant-in-Aid for Scientific Research (A) 262457005, and the fifth author by (C) No. 26400087 from the Japan Society for the Promotion of Science. This work was also partially supported by JSPS and FWF (I1671-N26) under the Japan–Austria Research Cooperative Program.
Publisher Copyright:
© 2017 Elsevier B.V.
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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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 -