In mathematics, the angular geometry is the study of the collection of angle conservative (angular) transformations on a Riemann variety or pseudo-Riemann variety. The angular geometry in two (real) dimensions in particular is the geometry of Riemann surfaces. Angular levels of geometry
Angular plane geometry is the study of the "Euclidean space with an added point infinite", or a "Minkowski (or pseudo-Euclidean) space with a few points added infinitely". That is, the context is a compact of a familiar space; Geometry is concerned with the implications of maintaining angles. In the case of Euclidean space, it is also referred to as Möbius geometry.
At an abstract level, the Euclidean and pseudo-Euclidean spaces can be treated in much the same way, except in case of dimension two. The compacted two-dimensional Minkowski plane exhibits extensive angular integrity symmetry. Formally, the group of angular transformations here is of infinite dimensionality. In contrast, the group of angular transformations of the compacted Euclidean plane is only 6 dimensional. Also see the compacted Euclidean plane is only 6 dimensional. Also see
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