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Eugenio BeltramiItalian mathematician
Date of Birth: 16.11.1835
Country:  Italy |
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Eugenio Beltrami
Eugenio Beltrami (1835-1900) was an Italian mathematician who made significant contributions to the fields of differential geometry and mathematical physics.
Academic Career
In 1862, Beltrami became a professor at the University of Bologna. He also taught at the University of Pisa. In 1873, he was appointed a member of the National Academy of Sciences dei Lincei in Rome, and in 1898, he became the academy's president. In the same year, he became a professor at the University of Rome.
Scientific Contributions
Non-Euclidean GeometryBeltrami played a key role in the recognition of non-Euclidean geometry. In 1868, he published "On an Interpretation of Non-Euclidean Geometry," in which he demonstrated that Lobachevsky's hyperbolic geometry could be locally realized on a surface in three-dimensional space, known as the pseudosphere or Beltrami surface. He also constructed the first projective and conformal-Euclidean models of Lobachevsky's geometry.
Surface Theory
Beltrami's theorem states that any ruled surface can be bent in a unique way so that an arbitrary line on it becomes an asymptotic line. This theorem is known as the Beltrami-Enneper theorem.
Other Contributions
Beltrami also made contributions to the theory of asymptotic lines on surfaces. His 1889 work on Saccheri's work on non-Euclidean geometry helped bring it to wider recognition and appreciation.
