Differential geometry

• Theorems in differential geometry (1 C, 46 P)
• Theorems in Riemannian geometry (26 P)

C

• Characteristic classes (8 P)
• Connection (mathematics) (1 C, 35 P)
• Coordinate systems (6 C, 42 P)
• Curvature (mathematics) (26 P)
• Curves (4 C, 99 P)

D

• Differential geometers (250 P)

G

• General relativity (13 C, 181 P)

L

• Lie groups (11 C, 144 P)

M

• Manifolds (13 C, 88 P)

R

• Riemannian geometry (6 C, 137 P)

S

• Singularity theory (1 C, 42 P)
• Smooth functions (3 C, 26 P)
• Smooth manifolds (1 C, 18 P)
• Spinors (2 C, 33 P)
• Differential geometry of surfaces (2 C, 44 P)
• Symplectic geometry (5 C, 54 P)
• Systolic geometry (23 P)

T

• Tensors (2 C, 79 P)

• Differential geometry

*

• Geometric analysis
• Glossary of differential geometry and topology
• List of differential geometry topics
• Projective differential geometry
• Supergeometry

3

• 3-torus

A

• Abstract differential geometry
• Acceleration (differential geometry)
• ADHM construction
• Affine bundle
• Affine connection
• Affine curvature
• Affine differential geometry
• Affine focal set
• Affine geometry of curves
• Affine Grassmannian (manifold)
• Affine manifold
• Affine sphere
• Alexandrov space
• Almost-contact manifold
• Analytic torsion
• Arithmetic Fuchsian group
• Arithmetic group
• Arnold invariants
• Associate family
• Associated bundle
• Atiyah conjecture
• Atiyah–Hitchin–Singer theorem

B

• Bäcklund transform
• Banach bundle
• Banach manifold
• Bel–Robinson tensor
• Arthur Besse
• Bi-Yang–Mills equations
• Bitangent
• Physics:Bitensor
• Björling problem
• Bochner identity
• Bochner's formula
• Bogomolny equations
• Bogomolov–Miyaoka–Yau inequality
• Bundle gerbe
• Bundle metric

C

• Calabi–Yau manifold
• Calculus of moving surfaces
• Calibrated geometry
• Cartan connection
• Physics:Cartan formalism
• Cartan formula
• Cartan's equivalence method
• Catalan's minimal surface
• Caustic (mathematics)
• Cayley's ruled cubic surface
• Center of curvature
• Chentsov's theorem
• Chern's conjecture (affine geometry)
• Chern's conjecture for hypersurfaces in spheres
• Chern–Simons form
• Chern–Weil homomorphism
• Proofs involving covariant derivatives
• Clairaut's relation
• Clairaut's relation (differential geometry)
• Classification of manifolds
• Clifford analysis
• Closed geodesic
• Closed manifold
• Cocurvature
• Coframe
• Collapsing manifold
• Geodesic manifold
• Complex hyperbolic space
• Complex manifold
• Conformal geometry
• Physics:Conformal Killing vector field
• Connection (affine bundle)
• Connection (composite bundle)
• Connection (fibred manifold)
• Connection (mathematics)
• Connection (principal bundle)
• Connection form
• Contact (mathematics)
• Contact bundle
• Coordinate-induced basis
• Costa's minimal surface
• Courant algebroid
• Courant bracket
• Covariance and contravariance of vectors
• Covariant derivative
• Covariant transformation
• Crofton formula
• Curvature form
• Curvature of Riemannian manifolds
• Astronomy:Curved space

D

• Darboux cyclide
• Darboux frame
• Darboux vector
• De Sitter space
• Deformed Hermitian Yang–Mills equation
• Density on a manifold
• Developable surface
• Development (differential geometry)
• Diffeology
• Differentiable curve
• Differentiable stack
• Differential form
• Differential geometry of curves
• Differential invariant
• Diffiety
• Physics:Dirac structure
• Directional derivative
• Discrete differential geometry
• Distribution (differential geometry)
• Double tangent bundle
• Double vector bundle
• Dual curve
• Dupin hypersurface
• Dynamic fluid film equations

E

• Eguchi–Hanson space
• Hermitian Yang–Mills connection
• Elliptic complex
• Envelope (mathematics)
• Equiareal map
• Earth:Equivalent latitude
• Equivariant differential form
• Equivariant index theorem
• Essential manifold
• Euler characteristic of an orbifold
• Euler–Arnold equation
• Event symmetry
• Evolute
• Exponential map (Riemannian geometry)
• Exterior calculus
• Exterior covariant derivative

F

• F-Yang–Mills equations
• Fibered manifold
• Filling area conjecture
• Filling radius
• Finsler manifold
• First fundamental form
• Fisher information metric
• Flat map
• Formal differential geometry
• Frame (linear algebra)
• Frankel conjecture
• Frenet–Serret formulas
• Frölicher–Nijenhuis bracket

G

• (G,X)-manifold
• G-fibration
• G-structure on a manifold
• G2 manifold
• G2-structure
• Gauge covariant derivative
• Gauge group (mathematics)
• Gauge theory (mathematics)
• Higher gauge theory
• Gauss curvature flow
• Gauss map
• Gaussian curvature
• General covariance
• General covariant transformations
• Generalized complex structure
• Generalized flag variety
• Geodesic
• Geodesic map
• Geodesics on an ellipsoid
• Geometry processing
• Gibbons–Hawking ansatz
• Glossary of Riemannian and metric geometry
• Grassmannian
• Gromov's compactness theorem (geometry)
• Gromov's inequality for complex projective space
• Group analysis of differential equations

H

• Haefliger structure
• Haken manifold
• Physics:Hamiltonian field theory
• Heat kernel signature
• Hedgehog (geometry)
• Henneberg surface
• Hermitian manifold
• Hermitian symmetric space
• Hilbert manifold
• Hilbert scheme
• Hilbert's lemma
• Hitchin system
• Hitchin's equations
• Holmes–Thompson volume
• Holonomic basis
• Holonomy
• Homological mirror symmetry
• Hopf conjecture
• Hopf fibration
• Huisken's monotonicity formula
• Hyperkähler manifold
• Hyperkähler quotient

I

• Immersion (mathematics)
• Induced metric
• Infinite-dimensional Chern–Simons theory
• Inflection point
• Physics:Instanton