The publication of Méthodes de calcul différentiel absolu et leurs applications in 1900 provided the essential mathematical framework that allowed Albert Einstein to articulate the theory of general relativity. Authored alongside Gregorio Ricci-Curbastro, the work cemented a new era of tensor calculus, establishing a standard for absolute differential analysis that remains fundamental in modern theoretical physics today.
Academic Foundations in Padua
Born in 1873 in Padua, Italy, Tullio Levi-Civita pursued his early education at the University of Padua. He began his teaching career following the receipt of his diploma, eventually returning to his alma mater in 1898 to fill the Chair of Rational Mechanics. During this tenure at the University of Padua, he mentored students and conducted foundational research, remaining there until 1918.
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Levi-Civita advanced the study of celestial mechanics, specifically the three-body problem, and made technical improvements to the Cauchy-Kowalevski theorem. In 1917, he introduced the concept of parallel transport within Riemannian geometry to simplify curvature calculations. His expertise extended to hydrodynamics and the Dirac equation, further establishing his influence across diverse mathematical and physical landscapes.
The Einstein Correspondence
Correspondence between Levi-Civita and Albert Einstein began when the former identified mathematical inaccuracies in the latter’s applications of tensor calculus. Over years of exchange, the two developed a mutual professional respect. In 1936, at Einstein’s invitation, Levi-Civita traveled to Princeton to work alongside him for a year before returning to the Kingdom of Italy as European tensions escalated.
Professional Displacement and Death
In 1918, Levi-Civita accepted the Chair of Higher Analysis at the Sapienza University of Rome, later transitioning to the Chair of Mechanics. His career was abruptly halted in 1938 when the Italian Fascist government enacted race laws, stripping him of his professorship and his memberships in scientific societies. He lived in isolation until his death in Rome in 1941.
Fast facts
- Born: 1873, Padua
- Died: 1941, Rome
- Citizenship: Kingdom of Italy
- Notable work: The Absolute Differential Calculus
- Sylvester Medal award: 1922
- Foreign Member of the Royal Society: 1930
- Academic appointments: University of Padua, Sapienza University of Rome
Questions readers ask
What is the significance of the Levi-Civita symbol?
It is a mathematical tool used in tensor calculus, which reflects his primary contributions to absolute differential calculus.
Why did Levi-Civita lose his university positions?
In 1938, the Italian Fascist government enacted race laws that deprived him of his professorship and all professional society memberships.
Achievements
- Notable work: Levi-Civita symbol
- Notable work: Levi-Civita connection
- Notable work: Levi-Civita field
- Notable work: Levi-Civita parallelogramoid
- Affiliated with Sapienza University of Rome and University of Padua
- Educated at University of Padua
- Worked as mathematician, physicist and university teacher
