Category:Differential geometry

• ► Theorems in differential geometry‎ (1 C, 21 P)

C

• ► Characteristic classes‎ (10 P)
• ► Connection (mathematics)‎ (1 C, 38 P)
• ► Coordinate systems‎ (6 C, 60 P)
• ► Curvature (mathematics)‎ (30 P)
• ► Curves‎ (8 C, 167 P)

D

• ► Differential geometers‎ (85 P)
• ► Differential geometry of surfaces‎ (2 C, 40 P)

F

• ► Fiber bundles‎ (3 C, 38 P)
• ► Finsler geometry‎ (1 C, 2 P)

G

• ► Gabriel's variety‎ (1 P)
• ► Geometric flow‎ (7 P)

L

• ► Lie groupoids‎ (2 P)
• ► Lie groups‎ (10 C, 151 P)

M

• ► Manifolds‎ (16 C, 63 P)

R

• ► Riemannian geometry‎ (8 C, 119 P)

S

• ► Singularity theory‎ (2 C, 48 P)
• ► Smooth functions‎ (3 C, 23 P)
• ► Smooth manifolds‎ (1 C, 12 P)
• ► Spinors‎ (28 P)
• ► Symplectic geometry‎ (5 C, 54 P)
• ► Systolic geometry‎ (24 P)

T

• ► Tensors‎ (3 C, 80 P)

Σ

• ► Differential geometry stubs‎ (123 P)

• Differential geometry
• Geometric analysis
• Glossary of differential geometry and topology
• Horizontal bundle
• List of differential geometry topics

*

• Projective differential geometry
• Supergeometry

A

• Abstract 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
• Analytic torsion
• Anti-de Sitter space
• Associate family
• Associated bundle
• Atiyah conjecture
• Atiyah–Hitchin–Singer theorem
• Autoparallel

B

• Bäcklund transform
• Banach bundle
• Banach manifold
• Beez's theorem
• Bel–Robinson tensor
• Bernstein's problem
• Arthur Besse
• Bitangent
• Björling problem
• Bochner identity
• Bochner's formula
• Bochner–Kodaira–Nakano identity
• Bochner–Yano theorem
• Bogomolny equations
• Bogomolov–Miyaoka–Yau inequality
• Bour's minimal surface
• Bundle gerbe

C

• Calabi conjecture
• Calculus of moving surfaces
• Calibrated geometry
• Cartan connection
• Cartan formalism (physics)
• Cartan's equivalence method
• Catalan's minimal surface
• Caustic (mathematics)
• Cayley's ruled cubic surface
• Center of curvature
• Chern–Simons form
• Chern–Weil homomorphism
• Chern–Weil theory
• Proofs involving covariant derivatives
• Clairaut's relation
• Classification of manifolds
• Clifford analysis
• Closed geodesic
• Cocurvature
• Coframe
• Conformal geometry
• Conformal Killing equation
• Connection (affine bundle)
• Connection (composite bundle)
• Connection (fibred manifold)

C cont.

• Connection (mathematics)
• Connection form
• Contact (mathematics)
• Coordinate-induced basis
• Costa's minimal surface
• Émile Cotton
• Courant algebroid
• Courant bracket
• Covariance and contravariance of vectors
• Covariant derivative
• Covariant Hamiltonian field theory
• Covariant transformation
• Crofton formula
• Curvature form
• Curved space

D

• Darboux frame
• Darboux vector
• Developable surface
• Development (differential geometry)
• Diffeology
• Spin geometry
• Differential geometry of curves
• Differential invariant
• Directional derivative
• Discrete differential geometry
• Distribution (differential geometry)
• Double tangent bundle
• Dual curve
• Dynamic fluid film equations

E

• Eguchi–Hanson space
• Elliptic complex
• Envelope (mathematics)
• Equiareal map
• Essential manifold
• Evolute
• Exterior covariant derivative

F

• Filling area conjecture
• Filling radius
• First fundamental form
• Fisher information metric
• Frame of a vector space
• Frenet–Serret formulas
• Frölicher–Nijenhuis bracket
• Fundamental theorem of curves

G

• G-structure
• G2 manifold
• G2-structure
• Gauge covariant derivative
• Gauss map
• Gaussian curvature
• General covariance
• General covariant transformations
• Generalizations of the derivative
• Generalized complex structure
• Generalized flag variety
• Geodesic map
• Gibbons–Hawking ansatz
• Grassmannian
• Gromov's inequality for complex projective space

H

• Heat kernel signature
• Henneberg surface
• Hermitian symmetric space
• Hilbert scheme
• Hitchin system
• Holonomic basis
• Holonomy
• Homological mirror symmetry

H cont.

• Hopf conjecture
• Hopf fibration
• Hypercomplex manifold
• Hyperkähler quotient

I

• Induced metric
• Information geometry
• Instanton
• Integral curve
• Invariant differential operator
• Inverse mean curvature flow
• Involute
• Isothermal coordinates
• Isotropic manifold
• Iwasawa manifold

J

• Jet (mathematics)

K

• K-noid
• K3 surface
• Kähler–Einstein metric
• Klein geometry
• Kronheimer–Mrowka basic class
• Kulkarni–Nomizu product

L

• L² cohomology
• Lanczos tensor
• Laplace operators in differential geometry
• Last geometric statement of Jacobi
• Lebrun manifold
• Levi-Civita parallelogramoid
• Lichnerowicz formula
• Lie algebroid
• Lie derivative
• Lie groupoid
• Lie sphere geometry
• Lie–Palais theorem
• Liouville field theory
• Liouville's equation
• List of nonlinear partial differential equations
• Loewner's torus inequality

M

• Manifold
• Margulis lemma
• Geoffrey K. Martin
• Matsushima's formula
• Maurer–Cartan form
• Mean curvature
• Mean curvature flow
• Metric (vector bundle)
• Metric compatibility
• Metric signature
• Metric tensor
• Minakshisundaram–Pleijel zeta function
• Minimal surface
• Minkowski problem
• Monodromy
• Monopole (mathematics)
• Monopole moduli space
• Mostow rigidity theorem
• Motion (geometry)
• Moving frame
• Multivector

N

• Nadirashvili surface
• Natural pseudodistance
• Nearly Kähler manifold
• Negative pedal curve
• Neovius surface
• Nijenhuis bracket
• Nonholonomic system
• Nonmetricity tensor