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 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...

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

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

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

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...

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

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:...

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...

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

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...

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

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

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

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

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,...

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

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

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...

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

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...

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...

Mathematics at the University of Pennsylvania, specializing in differential geometry, partial differential equations and their applications. Calabi was born in...