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Calabi-Yau manifold, generated from POV-Ray code. Calabi Yau manifolds are complex manifolds that are higher-dimensional analogues of K3 surfaces. They are sometimes defined as compact Koehler manifolds whose canonical bundle is trivial, though many other similar but inequivalent definitions are sometimes used. They were named Calabi Yau spaces by Candelas et al. E. Calabi (1954, 1957) who first studied them, and S. T. Yau (1978) who proved the Calabi conjecture that they have Ricci flat metrics. They have applications in theoretical physics, especially superstring theory.
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