We define Riemann – Banach space and the space conformal to
the Euclidean planer space, then we create The necessary and
sufficient conditions in order to be Riemann – Banach
space conformal to the Euclidean space, then we prove that
constant- curvature Riemann – Banach spaces which have
are conformal to the Euclidean space. Finally,
we create locally, the measurement in constant curvature
Riemann –Banach spaces.
