(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 single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.

(algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.

(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.

(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).

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

(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;

(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.