By considering the scale-normalized determinant of the Hessian, also referred to as the Monge–Ampère operator,
Calabi transformed the Calabi conjecture into a non–linear partial differential equation of complex Monge–Ampere type, and showed that this equation has at most one solution, thus establishing the uniqueness of the required Kähler metric.
Erhard Heinz (born 30 April 1924, Bautzen) is a German mathematician known for his work on partial differential equations, in particular the Monge–Ampère equation.
Shing-Tung Yau received the Fields Medal at the International Congress of Mathematicians in Warsaw in 1982 for his work in global differential geometry and elliptic partial differential equations, particularly for solving such difficult problems as the Calabi conjecture of 1954, and a problem of Hermann Minkowski in Euclidean spaces concerning the Dirichlet problem for the real Monge–Ampère equation.
Gilbarg, D. and Trudinger, N. S. Elliptic Partial Differential Equations of Second Order. Berlin: Springer-Verlag, 1983.
Schrödinger equation | Nernst equation | Monge–Ampère equation | Boltzmann equation | Yolandita Monge | Diophantine equation | Ordinary differential equation | ordinary differential equation | Young–Laplace equation | Wave equation | wave equation | Vlasov equation | Tait equation | Smoluchowski coagulation equation | Sauerbrey equation | Rolando Araya Monge | Redlich–Kwong equation of state | Ramanujan–Nagell equation | Quadratic equation | Prony equation | Pell's equation | Mathieu's equation | Marchenko equation | Manuel Monge Municipality | Majorana's equation | Linear equation | linear equation | Liénard equation | Kepler's equation | Kaup–Kupershmidt equation |
Shortly after becoming President, Monge traveled to Israel, where, without knowing about the United Nations Security Council Resolution 478, he raised the national flag on Costa Rica's embassy building.
The Monge's earliest song which can be reliably dated refers to the captivity of Richard I of England in Austria (1192–1194).
Other proposals were submitted by Roland Castro and the GAU (Groupement pour l'Architecture et l'Urbanisme), Jean Monge, and Carlo Scarpa.
They perfected their studies in Paris and there met the most famous scholars of the era : Laplace, Jussieu, d'Alembert, the Monge brothers, Volney, Malesherbes, and Condorcet, secretary of the Académie des sciences.