caa a22 4500 463248252 CHVBK 20180405153332.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10455-006-9046-4 doi (NATIONALLICENCE)springer-10.1007/s10455-006-9046-4 Wu Bing Department of Mathematics, Minjiang University, 350108, Fuzhou, Fujian, China aut A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type [Elektronische Daten] [Bing Wu] Let $$(\mathbb{R}^3,\widetilde{F}_b)$$ be a Minkowski 3-space of Randers type with $$\widetilde{F}_b=\widetilde{\alpha}+\widetilde{\beta}$$ , where $$\widetilde{\alpha}$$ is the Euclidean metric and $$\widetilde{\beta}=bdx^3,0 < b < 1$$ . We consider minimal surfaces in $$(\mathbb{R}^3,\widetilde{F}_b)$$ and prove that if a connected surface M in $$\mathbb{R}^3$$ is minimal with respect to both the Busemann-Hausdorff volume form and the Holmes-Thompson volume form, then up to a parallel translation of $$\mathbb{R}^3$$ , M is either a piece of plane or a piece of helicoid which is generated by lines screwing about the x 3-axis. Springer Science + Business Media B.V., 2006 Minkowski space of Randers type nationallicence Mean curvature nationallicence BH-minimal nationallicence HT-minimal nationallicence Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/4(2007-06-01), 375-384 0232-704X 31:4<375 2007 31 10455 https://doi.org/10.1007/s10455-006-9046-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-006-9046-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wu Bing Department of Mathematics, Minjiang University, 350108, Fuzhou, Fujian, China aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/4(2007-06-01), 375-384 0232-704X 31:4<375 2007 31 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer