Conjectura lui Poincaré grup Poincaré Poincaré recurrence theorem[*][[Poincaré recurrence theorem (theorem)|]] modelul discului Poincaré dualitate Poincaré[*] Poincaré inequality[*][[Poincaré inequality |]] Poincaré map[*][[Poincaré map (type of map used in mathematics, particularly dynamical systems)|]] Poincaré–Bendixson theorem[*][[Poincaré–Bendixson theorem (theorem)|]] Poincaré–Hopf theorem[*][[Poincaré–Hopf theorem (theorem relating the Euler characteristic of a closed manifold to the number of zeros of a vector field on it)|]] modelul semiplanului Poincaré[*] Poincaré lemma[*][[Poincaré lemma |]] Poincaré metric[*][[Poincaré metric (metric tensor describing constant negative (hyperbolic) curvature)|]] Poincaré–Birkhoff–Witt theorem[*][[Poincaré–Birkhoff–Witt theorem (explicitly describes the universal enveloping algebra of a Lie algebra)|]] Poincaré–Birkhoff theorem[*][[Poincaré–Birkhoff theorem |]] Poincaré–Lelong equation[*][[Poincaré–Lelong equation |]] Poincaré–Lindstedt method[*][[Poincaré–Lindstedt method (technique for uniformly approximating periodic solutions to weakly nonlinear ordinary differential equations that removes secular terms arising in perturbation theory)|]] Poincaré plot[*][[Poincaré plot |]] Poincaré residue[*][[Poincaré residue (generalization of the concept of residue of a holomorphic function to higher dimensions)|]] Poincaré series[*][[Poincaré series (series generalizing the classical theta series that is associated to any discrete group of symmetries of a complex domain, possibly of several complex variables)|]] Poincaré separation theorem[*][[Poincaré separation theorem |]] Poincaré–Miranda theorem[*][[Poincaré–Miranda theorem (theorem in mathematical analysis and algebraic topology)|]] Poincaré space[*][[Poincaré space (topological space equipped with a notion of Poincaré duality)|]] Poincaré–Steklov operator[*][[Poincaré–Steklov operator |]] Poincaré sphere[*][[Poincaré sphere (pagină de dezambiguizare Wikimedia)|]] La Science et l'Hypothèse[*][[La Science et l'Hypothèse (work by French mathematician Henri Poincaré)|]]
Lui îi aparține și renumita „Conjectură a lui Poincaré” (Bănuiala lui Poincaré), care a putut fi dovedită abia după aproape 100 de ani de la prima formulare a ei în anul 1904.