In mathematics, complex geometry is the study of complex manifolds and functions of many complex variables. Application of transcendental methods to algebraic geometry falls in this category, together with more geometric chapters of complex analysis.
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
Complex space — In mathematics, n dimensional complex space is a multi dimensional generalisation of the complex numbers, which have both real and imaginary parts or dimensions. The n dimensional complex space can be seen as n cartesian products of the complex… … Wikipedia
Complex convexity — Definition A set Ω in is called convex if its intersection with any complex line is contractible. Background In complex geometry and analysis, the notion of convexity and its generalizations play an important role in understanding function… … Wikipedia
Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
Geometry processing — Geometry processing, or mesh processing, is a fast growing area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation,… … Wikipedia
Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a … Wikipedia
Complex analytic geometry — In mathematics, complex analytic geometry sometimes denotes the application of complex numbers to plane geometry. Rather than represent a point in the plane as a pair of Cartesian coordinates, it can be represented as a single complex number,… … Wikipedia
Complex projective plane — In mathematics, the complex projective plane, usually denoted CP2, is the two dimensional complex projective space. It is a complex manifold described by three complex coordinates where, however, the triples differing by an overall rescaling are… … Wikipedia
Complex polygon — The term complex polygon can mean two different things: In computer graphics, as a polygon which is neither convex nor concave. In geometry, as a polygon in the unitary plane, which has two complex dimensions. Contents 1 Computer graphics 2… … Wikipedia
Complex (chemistry) — The term complex in chemistry is usually used to describe molecules or ensembles formed by the combination of ligands and metal ions. Originally, a complex implied a reversible association of molecules, atoms, or ions through weak chemical bonds … Wikipedia
