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

In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most...

In mathematics, projective differential geometry is the study of differential geometry, from the point of view of properties of mathematical objects such...

In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of...

mechanism (using precomposition) turns several constructions in differential geometry into contravariant functors. Let ϕ : M → N {\displaystyle \phi :M\to...

Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there...

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an...

analysis. Complex geometry sits at the intersection of algebraic geometry, differential geometry, and complex analysis, and uses tools from all three areas...

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...

qualunque". Mem. Acc. Lincei. 2 (5): 276–322. Sharpe, R. W. (1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. New York:...

Differential Geometry. It covers differential geometry and related subjects such as differential equations, mathematical physics, algebraic geometry,...

In mathematics, synthetic differential geometry is a formalization of the theory of differential geometry in the language of topos theory. There are several...

In the mathematical field of differential geometry, Euler's theorem is a result on the curvature of curves on a surface. The theorem establishes the existence...

Algebraic differential geometry may refer to: Differential algebraic geometry Differential geometry of algebraic manifolds Manifolds equipped with a derivation...

In differential geometry, a smooth surface in three dimensions has a ridge point when a line of curvature has a local maximum or minimum of principal...

In differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides...

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

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) Meusnier's theorem (differential geometry) Mostow rigidity theorem (differential geometry) Myers theorem (differential geometry) Myers-Steenrod...

This is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of...

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

ISBN 0-691-07239-6. Dillen, F. J. E.; Verstraelen, L.C.A. (2000). Handbook of Differential Geometry. Vol. 1. Amsterdam: North-Holland. ISBN 0-444-82240-2. Pfister,...

In classical differential geometry, Clairaut's relation, named after Alexis Claude de Clairaut, is a formula that characterizes the great circle paths...

In differential geometry and the study of Lie groups, a parabolic geometry is a homogeneous space G/P which is the quotient of a semisimple Lie group...

Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and the Euclidean space by methods of differential...

Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu...

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

In differential geometry a translation surface is a surface that is generated by translations: For two space curves c 1 , c 2 {\displaystyle c_{1},c_{2}}...

Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine differential...

methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc...