Kähler manifold — In mathematics, a Kähler manifold is a manifold with unitary structure (a U ( n ) structure) satisfying an integrability condition.In particular, it is a complex manifold, a Riemannian manifold, and a symplectic manifold, with these three… … Wikipedia
Einstein manifold — In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo Riemannian manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein because this condition is equivalent to… … Wikipedia
Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H … Wikipedia
Calabi conjecture — In mathematics, the Calabi conjecture was a conjecture about the existence of good Riemannian metrics on complex manifolds, made by Eugenio Calabi (1954, 1957) and proved by Shing Tung Yau (1977, 1978). The Calabi conjecture states that … Wikipedia
Shing-Tung Yau — at Harvard Law School dining hall Born … Wikipedia
Yamabe invariant — In mathematics, in the field of differential geometry, the Yamabe invariant (also referred to as the sigma constant) is a real number invariant associated to a smooth manifold that is preserved under diffeomorphisms. It was first written down… … Wikipedia
List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) … Wikipedia
Gravitational instanton — In mathematical physics and differential geometry, a gravitational instanton is a four dimensional complete Riemannian manifold satisfying the vacuum Einstein equations. They are so named because they are analogues in quantum theories of gravity… … Wikipedia
Gang Tian — Tian Gang (zh cp|c=田刚|p=Tián Gāng; 1958 ndash; ) is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields. He was born in… … Wikipedia
Simon Donaldson — Infobox Scientist name = Simon Kirwan Donaldson box width = image width = caption = birth date = birth date and age|1957|08|20 birth place = Cambridge, England death date = death place = residence = citizenship = nationality = flagicon|UK British … Wikipedia
