(geometry, uncountable) The field of mathematics which examines extremal problems of a combinatorial nature expressed geometrically. / (geometry, theory of matroids, countable) A simple matroid.

(computer science, geometry) A field of study, within computer science, devoted to algorithms that solve problems formulated in geometric terms.

(geometry) The study of conformal (angle-preserving) transformations on a space; / (formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

(differential geometry, countable) Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form;

(number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

(mathematics, algebraic geometry, arithmetic geometry) A theory which describes the way in which the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being abelian (commutative).

(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;

The ascription of symbolic and sacred meanings to certain geometric shapes and proportion, associated with the belief that a god is the geometer of the world.

(geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.

(differential geometry) A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.