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

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...

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

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

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

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

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

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

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

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

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...

is thus generally synonymous with the complex line, not the complex coordinate plane. Algebraic geometry Complex vector Riemann sphere Brass, Peter; Moser...

In organometallic chemistry, a "constrained geometry complex" (CGC) is a kind of catalyst used for the production of polyolefins such as polyethylene and...

In complex geometry, the complex conjugate line of a straight line is the line that it becomes by taking the complex conjugate of each point on this line...

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

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

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...

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real...

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...

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

geometry, the Riemann sphere is the prototypical example of a Riemann surface, and is one of the simplest complex manifolds. In projective geometry,...

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

residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex function theory. It is just one of...

transition metal complexes. The noble gas compound xenon tetrafluoride adopts this structure as predicted by VSEPR theory. The geometry is prevalent for...

differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and...

of algebraic varieties that is study of the algebraic geometry than complex analytic geometry. Many examples of such functions were familiar in nineteenth-century...

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

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

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