(mathematics, uncountable) The branch of mathematics dealing with spatial relationships.

geometrical

plural of geometry

(differential geometry) A type of geometry (mathematical object representing a space and its spatial relationships); a homogeneous space X together with a symmetry group which represents the group action on X of some Lie group;

(mathematics, geometry) The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds. / Elliptical or spherical geometry.

The geometry of empty spacetime around a rotating uncharged axially-symmetric black hole with a spherical event horizon.

(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes.

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory (specifically the theory of Diophantine equations), in particular being concerned with algebraic varieties over fields that are finitely generated over their prime fields and over local fields.

(geometry) Any geometric system that has only a finite number of points. / (geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points.