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Mathematical physics

Table of contents

Calculus of variations

Geometric flow

Minimal surfaces

Morse theory

Variational formalism of general relativity

Action (physics)

Almgren–Pitts min-max theory

Bounded variation

Brunn–Minkowski theorem

Caccioppoli set

Carathéodory function

Convenient vector space

Direct method in the calculus of variations

Dirichlet's principle

Dirichlet energy

Energy principles in structural mechanics

Euler–Lagrange equation

First variation

Fundamental lemma of the calculus of variations

Geodesics on an ellipsoid

Geometric analysis

Hamilton's principle

Hilbert's nineteenth problem

Hilbert's twentieth problem

History of variational principles in physics

Isoperimetric inequality

Lagrange multipliers on Banach spaces

Lagrangian system

List of variational topics

Maupertuis's principle

Minkowski's first inequality for convex bodies

Minkowski–Steiner formula

Morse–Palais lemma

Mountain pass theorem

Nehari manifold

Newton's minimal resistance problem

Noether's theorem

Obstacle problem

Palais–Smale compactness condition

Path of least resistance

Plateau's problem

Pseudo-monotone operator

Quasiconvexity (calculus of variations)

Regularized canonical correlation analysis

Saint-Venant's theorem

Signorini problem

Stampacchia Medal

Transversality (mathematics)

Variational inequality

Variational principle

Variational vector field

Weierstrass–Erdmann condition

Differential geometry

Characteristic classes

Coordinate systems

Curvature (mathematics)

Curves

Differential geometers

Differential geometry of surfaces

Finsler geometry

General relativity

Lie groupoids

Manifolds

Riemannian geometry

Singularity theory

Smooth functions

Smooth manifolds

Symplectic geometry

Systolic geometry

Theorems in Riemannian geometry

Theorems in differential geometry

(G,X)-manifold

3-torus

ADHM construction

Abstract differential geometry

Acceleration (differential geometry)

Affine Grassmannian (manifold)

Affine bundle

Affine connection

Affine curvature

Affine differential geometry

Affine focal set

Affine geometry of curves

Affine manifold

Affine sphere

Alexandrov's soap bubble theorem

Alexandrov space

Almost-contact manifold

Analytic torsion

Anti-de Sitter space

Arithmetic Fuchsian group

Arithmetic group

Arthur Besse

Associate family

Associated bundle

Atiyah conjecture

Atiyah–Hitchin–Singer theorem

Banach bundle

Banach manifold

Bel–Robinson tensor

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