complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry...

Geometry of Complex Numbers is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean...

Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...

Algebraic geometry occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis...

algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with...

In differential geometry and complex geometry, a complex manifold is a manifold with a complex structure, that is an atlas of charts to the open unit disc...

relations between complex geometry and algebraic geometry. The primary objects of study in complex geometry are complex manifolds, complex algebraic varieties...

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....

particularly differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization of a complex manifold that allows...

interchangeably with "symplectic geometry". The name "complex group" formerly advocated by me in allusion to line complexes, as these are defined by the vanishing...

physics, particularly in the context of electromagnetism and differential geometry, where it relates to the fact that the boundary of a boundary is always...

Constructive solid geometry (CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry allows a...

rational functions on V. In classical algebraic geometry they are ratios of polynomials; in complex geometry these are meromorphic functions and their higher-dimensional...

In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron. The...

expect to be able to incorporate algebraic geometry, p-adic analytic geometry and complex analytic geometry. In condensed mathematics, liquid vector spaces...

non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...

projective geometry are simpler statements. For example, the different conic sections are all equivalent in (complex) projective geometry, and some theorems...

complex geometry where they play an essential role in the definition of almost complex manifolds, by contrast to complex manifolds. The term "complex...

"Number/Complex Numbers". Analytic continuation Circular motion using complex numbers Complex-base system Complex coordinate space Complex geometry Geometry of...

Complex convexity is a general term in complex geometry. A set Ω {\displaystyle \Omega } in C n {\displaystyle \mathbb {C} ^{n}} is called C {\displaystyle...

descriptions of redirect targets Complex conjugate line – Operation in complex geometry Complex conjugate representation Complex conjugate vector space – Mathematics...

and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure...

that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics...

AlphaGeometry is an artificial intelligence (AI) program that can solve hard problems in Euclidean geometry. The system comprises a data-driven large language...

In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines...

discussion). Complex projective space was first introduced by von Staudt (1860) as an instance of what was then known as the "geometry of position",...

In chemistry, octahedral molecular geometry, also called square bipyramidal, describes the shape of compounds with six atoms or groups of atoms or ligands...

of eight possible geometries. 2-dimensional topology can be studied as complex geometry in one variable (Riemann surfaces are complex curves) – by the...

lemma, named after Hermann Amandus Schwarz, is a result in complex differential geometry that estimates the (squared) pointwise norm | ∂ f | 2 {\displaystyle...

mathematics and especially complex geometry, the Kobayashi metric is a pseudometric intrinsically associated to any complex manifold. It was introduced...