Category:Differential geometry

From Freepedia

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. It arises naturally from the study of the theory of differential equations. Differential geometry is the study of geometry using calculus. These fields are adjacent, and have many applications in physics, notably in the theory of relativity. Together they make up the geometric theory of differentiable manifolds - which can also be studied directly from the point of view of dynamical systems.

Subcategories

There are 7 subcategories to this category.

C Complex manifolds D Differential topology

F Fiber bundles L Lie groups R Riemannian geometry

S Surfaces T Tensors

Articles in category "Differential geometry"

There are 97 articles in this category.

Differential geometry and topology A Affine connection Almost complex manifold Associated bundle Atiyah–Singer index theorem B Bäcklund transform C Calabi-Yau manifold Cartan connection Cartan connection applications Cartan's equivalence method Caustic (mathematics) Characteristic class Chern class Chern-Simons form Chern-Weil homomorphism Closed and exact differential forms Conformal geometry Connection (mathematics) Connection form Contact (mathematics) Covariant derivative Covariant transformation Curvature Curvature form Curves in differential geometry D Darboux vector De Rham cohomology Diffeology Differential geometry of curves Directional derivative E Embedding Envelope (mathematics)

E cont. Evolute F Finsler manifold Fisher information metric Flag manifold Frenet-Serret formulas Frobenius theorem Fundamental theorem of curves G G-structure G2 manifold Gauss map Gauss-Bolyai-Lobachevsky space Gaussian curvature General covariance Generalized Gauss-Bonnet theorem Glossary of differential geometry and topology Grassmannian H Hermitian metric Holonomy Hopf bundle Hyper-Kähler manifold I Induced metric Instanton K K3 surface Kähler manifold L List of differential geometry topics M Mean curvature Metric signature Minimal surface Monodromy Moving frame N Nonmetricity tensor O Orientable manifold Osculating circle

P P-vector Poisson manifold Pontryagin class Prime geodesic Principal bundle Projective differential geometry Pseudogroup Pseudosphere Pullback Push forward R Real projective space Riemannian symmetric space S Schwarz–Ahlfors–Pick theorem Second fundamental form Shape of the universe Sine-Gordon equation Sphere Spinor bundle Stiefel manifold Swan's theorem Symplectic manifold Symplectic space T Tangent Tangent space Taut submanifold Tensor field Tetrad (index notation) Theorema Egregium Torsion U Upper half-plane V Volume form W Weyl transformation