Differential geometry

system of partial differential equations whose solutions are stationary with respect to the Yang–Mills action functional

mathematical concept

pseudonymous group of mathematicians

generalization of coordinate frame

homogeneous space which is the quotient of a semisimple group by its parabolic subgroup

infinitesimal version of a Lie groupoid: manifold M with vector bundle E, vector bundle map ρ: E→TM, and a Lie bracket on sections of E, so that [s,ft] = (ρ(s)f)t+f[s,t] for any function f: M→ℝ and sections s, t of E

two-dimensional conformal field theory

Riemannian manifold with Sp(n) holonomy, or equivalently with an S² family of Kähler structures

Mathematical theory

section of the trivial line bundle associated to the determinant representation of the frame bundle

generalization of tensor fields

fiber bundle constructed by a representation of a group and a principal bundle

term

elliptic differential operators in geometry mathematics

type of topological space

internal groupoid in the category of smooth manifolds

object from which field lines are emitted or absorbed

parabolic partial differential equation

product of two (0,2)-tensors as a (0,4)-tensor

study of discrete counterparts of notions in differential geometry