algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties, such...

hypercomplex manifold. All hyperkähler manifolds are Ricci-flat and are thus Calabi–Yau manifolds. Hyperkähler manifolds were defined by Eugenio Calabi in 1979...

journalist Steve Nadis, Yau has written a non-technical account of Calabi-Yau manifolds and string theory,[YN10] a history of Harvard's mathematics department...

between geometric objects called Calabi–Yau manifolds. The term refers to a situation where two Calabi–Yau manifolds look very different geometrically...

the Miyaoka–Yau inequality for varieties with ample canonical bundle and the Beauville–Bogomolov decomposition for Calabi–Yau manifolds. By contrast...

Shing-Tung Yau's resolution of the Calabi conjecture produced a number of Ricci-flat metrics on Kähler manifolds. A pseudo-Riemannian manifold is said to...

class contains exactly one Ricci-flat metric. These are often called Calabi–Yau manifolds. However, the term is often used in slightly different ways by various...

six-dimensional Calabi–Yau manifold. This is a special kind of geometric object named after mathematicians Eugenio Calabi and Shing-Tung Yau. Calabi–Yau manifolds offer...

important role in G 2 {\displaystyle G_{2}} geometry". Spin(7)-manifold Calabi–Yau manifold Harvey, Reese; Lawson, H. Blaine (1982), "Calibrated geometries"...

orientation-preserving). Riemann surfaces. Calabi–Yau manifolds. The Cartesian product of two complex manifolds. The inverse image of any noncritical value...