TY - JOUR
T1 - Heinz-type mean curvature estimates in Lorentz-Minkowski space
AU - Honda, Atsufumi
AU - Kawakami, Yu
AU - Koiso, Miyuki
AU - Tori, Syunsuke
N1 - Funding Information:
The authors were partially supported by JSPS KAKENHI Grant Number JP18H04487, JP19K03463, JP19K14526, JP20H04642 and JP20H01801.
Publisher Copyright:
© 2020, The Author(s).
PY - 2021/9
Y1 - 2021/9
N2 - We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowski space. As a corollary, we give a unified vanishing theorem of mean curvature for these entire graphs of constant mean curvature.
AB - We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowski space. As a corollary, we give a unified vanishing theorem of mean curvature for these entire graphs of constant mean curvature.
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U2 - 10.1007/s13163-020-00373-9
DO - 10.1007/s13163-020-00373-9
M3 - Article
AN - SCOPUS:85092278747
SN - 1139-1138
VL - 34
SP - 641
EP - 651
JO - Revista Matematica Complutense
JF - Revista Matematica Complutense
IS - 3
ER -