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.
A class of measurable Surface over a Riemann Space
CARISTI, Giuseppe
2009-01-01
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.File in questo prodotto:
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