diffeomorphism

  • 71Borel–Weil theorem — In mathematics in the field of representation theory of compact Lie groups, the Borel–Weil theorem provides a concrete model for the irreducible representations as holomorphic sections of certain complex line bundles. It can be considered as a… …

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  • 72Gravitational anomaly — Anomalies in the usual 4 spacetime dimensions arise from triangle Feynman diagrams Not to be confused with Gravity anomaly. In theoretical physics, a gravitational anomaly is an example of a gauge anomaly: it is an effect of quantum… …

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  • 73List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …

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  • 74Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …

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  • 75Hilbert manifold — In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold… …

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  • 76Weinberg-Witten theorem — Steven Weinberg and Edward Witten consider the so called emergent theories to be misguided. During the 80 s, preon theories, technicolor and the like were very popular and some people were speculating that gravity might be an emergent phenomena… …

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  • 77Étale morphism — In algebraic geometry, a field of mathematics, an étale morphism (pronunciation IPA|) is an algebraic analogue of the notion of a local isomorphism in the complex analytic topology. They satisfy the hypotheses of the implicit function theorem,… …

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  • 78Solvmanifold — In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group. It may also be characterized as a quotient of a connected solvable Lie group by a closed subgroup. (Some authors also require that the Lie group be simply… …

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  • 79Smith conjecture — In mathematics, the Smith conjecture was a problem open for many years, and proved at the end of the 1970s. It states that if f is an orientation preserving diffeomorphism (not the identity) of the 3 sphere, of finite order and having some fixed… …

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  • 80Feedback linearization — is a common approach used in controlling nonlinear systems. The approach involves coming up with a transformation of the nonlinear system into an equivalent linear system through a change of variables and a suitable control input. Feedback… …

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