Several members of the French Poincaré family have been successful in public and scientific life:
- Henri Poincaré (1854–1912), physicist, mathematician and philosopher of science
- Lucien Poincaré (1862–1920), physicist, brother of Raymond and cousin of Henri
- Raymond Poincaré (1860–1934), statesman, cousin of Henri
In physics and mathematics, a number of ideas are named after Henri Poincaré:
- Poincaré conjecture
- Poincaré recurrence
- Poincaré group, the group of isometries of Minkowski spacetime, named in honour of Henri Poincaré
- Poincaré inequality
- Poincaré map
- Poincaré disk model, a model of n-dimensional hyperbolic geometry
- Poincaré half-plane model, a model of two-dimensional hyperbolic geometry
- Poincaré–Hopf theorem
- Poincaré duality
- Poincaré–Birkhoff–Witt theorem
- Hilbert–Poincaré series
- Poincaré metric
- Poincaré half-plane model
- Poincaré–Lindstedt method