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...

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

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

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...

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

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

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

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

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

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...

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...

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

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

calculus, discrete Fourier transforms, discrete geometry, discrete logarithms, discrete differential geometry, discrete exterior calculus, discrete Morse...

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...

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

who made profound contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first...

Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic...

In sub-Riemannian geometry, the Chow–Rashevskii theorem (also known as Chow's theorem) asserts that any two points of a connected sub-Riemannian manifold...

of mathematics, such as complex analysis, functional analysis, differential geometry, measure theory, and abstract algebra. The derivative of f ( x )...

geometry Gauss–Bonnet theorem, a theorem about curvature in differential geometry for 2d surfaces Chern–Gauss–Bonnet theorem in differential geometry...

\end{aligned}}} Distribution (number theory) Demailly, Complex Analytic and Differential Geometry Hörmander, Lars, The Analysis of Linear Partial Differential Operators...

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

(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...