caa a22 4500 445884355 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10711-010-9517-4 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9517-4 Minimal rotational hypersurfaces in Minkowski ( α , β )-space [Elektronische Daten] [Ningwei Cui, Yi-Bing Shen] In Finsler geometry, minimal surfaces with respect to the Busemann-Hausdorff measure and the Holmes-Thompson measure are called BH-minimal and HT-minimal surfaces, respectively. In this paper, we give the explicit expressions of BH-minimal and HT-minimal rotational hypersurfaces generated by plane curves rotating around the axis in the direction of $${\tilde{\beta}^{\sharp}}$$ in Minkowski (α, β)-space $${(\mathbb{V}^{n+1},\tilde{F_b})}$$ , where $${\mathbb{V}^{n+1}}$$ is an (n+1)-dimensional real vector space, $${\tilde{F_b}=\tilde{\alpha}\phi(\tilde{\beta}/\tilde{\alpha}), \tilde{\alpha}}$$ is the Euclidean metric, $${\tilde{\beta}}$$ is a one form of constant length $${b:=\|\tilde{\beta}\|_{\tilde{\alpha}}, \tilde{\beta}^{\sharp}}$$ is the dual vector of $${\tilde{\beta}}$$ with respect to $${\tilde{\alpha}}$$ . As an application, we first give the explicit expressions of the forward complete BH-minimal rotational surfaces generated around the axis in the direction of $${\tilde{\beta}^{\sharp}}$$ in Minkowski Randers 3-space $${(\mathbb{V}^{3},\tilde{\alpha}+\tilde{\beta})}$$ . Springer Science+Business Media B.V., 2010 Finsler geometry nationallicence Minkowski space nationallicence ( α , β )-metric nationallicence Minimal surface nationallicence Randers space nationallicence Cui Ningwei School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, People's Republic of China aut Shen Yi-Bing Department of Mathematics, Zhejiang University, 310027, Hangzhou, People's Republic of China aut Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 27-39 0046-5755 151:1<27 2011 151 10711 https://doi.org/10.1007/s10711-010-9517-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9517-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cui Ningwei School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, People's Republic of China aut NATIONALLICENCE 700 1- Shen Yi-Bing Department of Mathematics, Zhejiang University, 310027, Hangzhou, People's Republic of China aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 27-39 0046-5755 151:1<27 2011 151 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer