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Poincaré lemma Poincaré map Poincaré residue Poincaré series (modular form) Poincaré space Poincaré metric Poincaré plot Poincaré polynomial Poincaré...

In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about...

Raymond Nicolas Landry Poincaré (French pronunciation: [ʁɛmɔ̃ pwɛ̃kaʁe]; 20 August 1860 – 15 October 1934) was a French statesman who served as President...

The Poincaré group, named after Henri Poincaré (1905), was first defined by Hermann Minkowski (1908) as the isometry group of Minkowski spacetime. It is...

developed new techniques in the analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which...

polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological...

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside...

problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the Millennium Meeting held on May 24, 2000. Thus, on the...

Henri Poincaré was a French Navy Redoutable-class submarine of the M6 series commissioned in 1931. She participated in World War II, first on the side...

commonly used for hyperbolic geometry: the Klein model, the Poincaré disk model, the Poincaré half-plane model, and the Lorentz or hyperboloid model. These...

In mathematics and physics, the Poincaré recurrence theorem states that certain dynamical systems will, after a sufficiently long but finite time, return...

point. There is a generalization of this concept to cover Poincaré covariance and Poincaré invariance. In general, the (transformational) nature of a...

by torsion coefficients. The term "Betti numbers" was coined by Henri Poincaré after Enrico Betti. The modern formulation is due to Emmy Noether. Betti...

particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space...

In mathematics, the Poincaré–Bendixson theorem is a statement about the long-term behaviour of orbits of continuous dynamical systems on the plane, cylinder...

The Henri Poincaré Institute (or IHP for Institut Henri Poincaré) is a mathematics research institute part of Sorbonne University, in association with...

Stokes' theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls or simply the curl theorem...

In non-Euclidean geometry, the Poincaré half-plane model is the upper half-plane, denoted below as H = { ⟨ x , y ⟩ ∣ y > 0 ; x , y ∈ R } {\displaystyle...

results on which he based his theories, most notably to the work of Henri Poincaré and Hendrik Lorentz for special relativity, and to the work of David Hilbert...

empirical findings obtained by Albert A. Michelson, Hendrik Lorentz, Henri Poincaré and others. It culminated in the theory of special relativity proposed...