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

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

("On the Hypotheses on which Geometry is Based"). It is a very broad and abstract generalization of the differential geometry of surfaces in R3. Development...

References Absolute differential calculus An older name of Ricci calculus Absolute geometry Also called neutral geometry, a synthetic geometry similar to Euclidean...

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...

(2001). "C* algebras and differential geometry". arXiv:hep-th/0101093. Connes, Alain (1985). "Non-commutative differential geometry". Publications Mathématiques...

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

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...

centered around Diophantine geometry, the study of rational points of algebraic varieties. In more abstract terms, arithmetic geometry can be defined as the...

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...

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

combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology. Polyhedra...

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

projective algebraic geometry (the study of projective varieties) and projective differential geometry (the study of differential invariants of the projective...

compactification of a familiar space; the geometry is concerned with the implications of preserving angles. At an abstract level, the Euclidean and pseudo-Euclidean...

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...

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

{\displaystyle a_{1}} gives a derivation. In differential geometry derivations are tangent vectors Kähler differential Hasse derivative p-derivation Wirtinger...

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