Differential geometers

Eugenio Beltrami

Eugenio Beltrami (16 November 1835 – 18 February 1900) was an Italian mathematician notable for his work concerning differential geometry and mathematical physics. His work was noted especially for clarity of exposition. He was the first to prove consistency of non-Euclidean geometry by modeling it on a surface of constant curvature, the pseudosphere, and in the interior of an n-dimensional unit sphere, the so-called Beltrami–Klein model. He also developed singular value decomposition for matrices, which has been subsequently rediscovered several times. Beltrami's use of differential calculus for problems of mathematical physics indirectly influenced development of tensor calculus by Gregorio Ricci-Curbastro and Tullio Levi-Civita. (Wikipedia).

Eugenio Beltrami
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Related pages

Poincaré disk model | Equiconsistency | Euclidean geometry | Tensor calculus | Gaspard Monge | Unit sphere | Differential calculus | Joseph Liouville | Constant curvature | Horocycle | Singular value decomposition | Unit disk | Horosphere | Pseudosphere | Beltrami identity | Beltrami equation | Hyperbolic space | Gregorio Ricci-Curbastro | Delfino Codazzi | Parallel postulate | Geodesic | Ferdinand Minding | Felix Klein | Euclidean space | Non-Euclidean geometry | Euclid | Luigi Cremona | Beltrami–Klein model | Manifold | Trigonometric functions | Tullio Levi-Civita | Bernhard Riemann | Differential geometry | Laplace–Beltrami operator | Poincaré half-plane model | Spherical trigonometry | Gaussian curvature | Matrix (mathematics) | Jules Hoüel | Nikolai Lobachevsky | Beltrami vector field | Beltrami's theorem | János Bolyai | Singularity theory