In differential geometry, a discipline within mathematics, a distribution on a manifold M {\displaystyle M} is an assignment x ↦ Δ x ⊆ T x M {\displaystyle...

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

This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...

partial differential equations Probability distribution, the probability of a particular value or value range of a variable Cumulative distribution function...

In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...

Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It...

differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds, including...

mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. The term differential is used nonrigorously in calculus...

manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For...

integral must be 1 if the particle exists. Differential forms are an approach for describing the geometry of curves and surfaces in a coordinate independent...

fundamental to various fields of research such as differential geometry and optimal transport. Elliptic differential equations appear in many different contexts...

In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also...

methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs)...

Computational Geometry and Applications Journal of Combinatorial Theory, Series B Journal of Computational Geometry Journal of Differential Geometry Journal...

to compute it using a four-quadrant version of the arctan function in a mathematical software library. Differential geometry Polar distribution v t e...

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical...

wireless networks Mathematical morphology Information geometry Stochastic differential geometry Chayes, J. T.; Chayes, L.; Kotecký, R. (1995). "The analysis...

developments in mathematical analysis and differential geometry, it became clear that the notion of the differential of a function could be extended in a variety...

undergraduate-level textbook for mathematics and physics students on differential geometry, focusing on applications to general relativity. It was written...

In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...

methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs)....

modern differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and physical fields of convex geometry, algebraic...

classical differential geometryPages displaying short descriptions of redirect targets Differentiable curve – Study of curves from a differential point of...

Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics...

σφαῖρα, sphaîra) is a surface analogous to the circle, a curve. In solid geometry, a sphere is the set of points that are all at the same distance r from...

also arise from many purely mathematical considerations, such as differential geometry and the calculus of variations; among other notable applications...

to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and...

(EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were published by Albert...

UTM becomes a Sasakian manifold. Jeffrey M. Lee: Manifolds and Differential Geometry. Graduate Studies in Mathematics Vol. 107, American Mathematical...

Lie sphere geometry is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by...