In this paper we consider a Riemann space of dimension three with a continuous and transitive group of movements as showed by Bianchi in $[2]$. We prove that this group, depending of a real number $h$ different from zero and one is measurable if and only if $h\neq -1$. In this hypothesis we determine the invariant and measurable families of surfaces with respect to the action of this group.
Titolo: | A class of measurable Surface over a Riemann Space |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Abstract: | In this paper we consider a Riemann space of dimension three with a continuous and transitive group of movements as showed by Bianchi in $[2]$. We prove that this group, depending of a real number $h$ different from zero and one is measurable if and only if $h\neq -1$. In this hypothesis we determine the invariant and measurable families of surfaces with respect to the action of this group. |
Handle: | http://hdl.handle.net/11570/1906123 |
Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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