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Calabi conjecture
also called Complex Monge-Ampère equation

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  1. a conjecture about the existence of good metrics on complex manifolds, made by Calabi in about 1954

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 25, 2009
  2. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 25, 2009
  3. The conjecture was proved by transforming the problem into a non-linear partial differential equation of complex Monge-Ampere type, and then solving this equation using the continuity method

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 25, 2009
  4. The conjecture was proven by S. T. Yau in 1976

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 25, 2009
  5. states that a compact Kähler manifold has a unique Kähler metric in the same class whose Ricci form is any given 2-form representing the first Chern class

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 25, 2009
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