geometry
branch of mathematics regarding geometric figures and properties of space
non-Euclidean geometry
two geometries based on axioms closely related to those specifying Euclidean geometry
convex geometry
branch of geometry that studies convex sets
complex geometry
study of complex manifolds and several complex variables
analytic geometry
study of geometry using a coordinate system
descriptive geometry
branch of geometry which allows the representation of three-dimensional objects in two dimensions
computational geometry
branch of computer science
geometric analysis
mathematical discipline at the interface of differential geometry and differential equations
mass point geometry
geometry problem-solving technique which applies the physical principle of the center of mass to geometry problems involving triangles and intersecting cevians
parabolic geometry
in differential geometry and the study of Lie groups, a homogeneous space G/P which is the quotient of a semisimple Lie group G by a parabolic subgroup P
synthetic geometry
study of geometry without the use of coordinates or formulas.
frustration
phenomenon where atoms tend to stick to non-trivial positions; set of degrees of freedom incompatible with the space occupied
tropical geometry
skeletonized version of algebraic geometry
Architectural geometry
area of research
Klein geometry
homogeneous space X together with a transitive action on X by a Lie group G, which acts as the symmetry group of the geometry
differential geometry
branch of mathematics dealing with functions and geometric structures on differentiable manifolds
discrete geometry
branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects
geometric graph theory
type of graph theory
goniometry
angle measurement
contact geometry
branch of mathematics
inversive geometry
Study of angle-preserving transformations
Zone theorem
theorem in computational and discrete geometry
Euclidean geometry
mathematical system attributed to Euclid
planimetrics
study of plane measurements, including angles, distances, and areas
shape of the universe
subject of cosmology
stochastic geometry
study of random spatial patterns
ordered geometry
form of geometry without distances
conformal geometry
study of angle-preserving transformations of a geometric space
quantum geometry
set of mathematical concepts propagating geometric concepts
arithmetic geometry
branch of algebraic geometry focused on problems in number theory
spectral geometry
field in mathematics
information geometry
field that applies the techniques of differential geometry to study probability theory and statistics
incidence geometry
the mathematical study of incidence structures
algebraic geometry and analytic geometry
two closely related mathematical subjects
trigonometry
branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides
affine geometry
Euclidean geometry without distance and angles
Lie sphere geometry
geometry founded on spheres