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geometry, a torus action on an algebraic variety is a group action of an algebraic torus on the variety. A variety equipped with an action of a torus T is called...

twice through the circle, the surface is a spindle torus (or self-crossing torus or self-intersecting torus). If the axis of revolution passes through the...

conical surface with an ordinary double point at the origin. Consider the torus action of G m {\displaystyle \mathbb {G} _{m}} on X = A 2 {\displaystyle X=\mathbb...

geometry, a GKM variety is a complex algebraic variety equipped with a torus action that meets certain conditions.: Def. 1.4.13  The concept was introduced...

In classical mechanics, action-angle variables are a set of canonical coordinates that are useful in characterizing the nature of commuting flows in integrable...

Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a compact Lie group G is a compact, connected...

Stated another way, a torus embedded in R3 is an asymmetric reduced-dimension projection of the maximally symmetric Clifford torus embedded in R4. The relationship...

Stargate, published by Acclaim Entertainment. Torus has a single, scalable cross-platform game engine. The Torus game engine runs on consoles, handhelds (including...

In mathematics, an algebraic torus, where a one dimensional torus is typically denoted by G m {\displaystyle \mathbf {G} _{\mathbf {m} }} , G m {\displaystyle...

forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of...

motion on a torus that never comes back to the same point. This behavior can also be called quasiperiodic evolution, dynamics, or flow. The torus may be a...

three-manifolds. To obtain a torus bundle: let f {\displaystyle f} be an orientation-preserving homeomorphism of the two-dimensional torus T {\displaystyle T}...

York: Springer. ISBN 978-1-4419-9982-5. OCLC 808682771. Michele Audin, Torus actions on symplectic manifolds, Birkhauser, 2004 John Lee, Introduction to...

algebra of continuous functions on the 2-torus. Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative...

variety or torus embedding is an algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends...

that the push-forward of the Liouville measure of a moment map for a torus action is given exactly by the stationary phase approximation (which is in general...

invariant d {\displaystyle d} -torus T d {\displaystyle {\mathcal {T}}^{d}} ( d ≥ 2 {\displaystyle d\geq 2} ) is called a KAM torus. The d = 1 {\displaystyle...

\alpha } on an orbifold M with a torus action and for a sufficient small ξ {\displaystyle \xi } in the Lie algebra of the torus T, 1 d M ∫ M α ( ξ ) = ∑ F 1...

Tōru Furuya (古谷 徹, Furuya Tōru, born July 31, 1953, in Yokohama, Kanagawa Prefecture) is a Japanese actor, voice actor and narrator. As a child, he was...

Last Action Hero is a 1993 American fantasy action comedy film directed and produced by John McTiernan and co-written by Shane Black and David Arnott...