diffeomorphism
81S-knot — In loop quantum gravity, an s knot is an equivalence class of spin networks under diffeomorphisms. External links * Living Reviews in Relativity: [http://relativity.livingreviews.org/open?pubNo=lrr 1998 1 page=node21.html Loop Quantum Gravity:… …
82Rank (differential topology) — In mathematics, the rank of a differentiable map f : M → N between differentiable manifolds at a point p ∈ M is the rank of the derivative of f at p. Recall that the derivative of f at p is a linear map from the tangent space at p to the… …
83Scherk surface — In mathematics, a Scherk surface is an example of a minimal surface. Sherk surfaces arise in the study of certain limiting minimal surface problems and in the study of harmonic diffeomorphisms of hyperbolic space.Construction of a simple Scherk… …
84Morse-Palais lemma — In mathematics, the Morse Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… …
85Hilbert's theorem (differential geometry) — In differential geometry, Hilbert s theorem (1901) states that there exists no complete regular surface S of constant negative Gaussian curvature K immersed in mathbb{R}^{3}. This theorem answers the question for the negative case of which… …
86Geodesic map — In mathematics mdash; specifically, in differential geometry mdash; a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that preserves geodesics . More precisely, given two (pesudo )Riemannian manifolds ( M , g ) and ( N …
87Pugh's closing lemma — In mathematics, Pugh s closing lemma is a result that links periodic orbit solutions of differential equations to chaotic behaviour. It can be formally stated as follows::Let f:M mapsto M be a C^1 diffeomorphism of a compact smooth manifold M .… …
88Donald Marolf — is a theoretical physicist, and currently a Professor of Physics at the University of California, Santa Barbara. He gained his Ph.D. from University of Texas at Austin in 1992, under Bryce DeWitt with a thesis on Green s Bracket Algebras and… …
89Akbulut cork — In topology an Akbulut cork is a structure is frequently used to show that in four dimensions, the smooth h cobordism theorem fails. It was named after Selman Akbulut.The basic idea of the Akbulut cork is that when attempting to use the h… …
90Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… …
