Explore: *manifolds(mathematics)

on manifolds List of manifolds Timeline of manifolds – Mathematics timeline Mathematics of general relativity – Foundation in theory's 3-manifold – Mathematical

Kähler manifolds, their geometry and topology, as well as the study of structures and constructions that can be performed on Kähler manifolds, such as

Lorentz. After Riemannian manifolds, Lorentzian manifolds form the most important subclass of pseudo-Riemannian manifolds. They are important in applications

lower dimensions, topological and smooth manifolds are quite different. There exist some topological 4-manifolds which admit no smooth structure, and even

Shing-Tung Yau (1978), who proved the Calabi conjecture. Calabi–Yau manifolds are complex manifolds that are generalizations of K3 surfaces in any number of complex

topology". Algebraic homology remains the primary method of classifying manifolds. Mathematics portal Betti number Cycle space De Rham cohomology Eilenberg–Steenrod

space. Every complex manifold is an almost complex manifold, but there are almost complex manifolds that are not complex manifolds. Almost complex structures

is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds. Phenomena in three dimensions can be strikingly different

Riemmannian manifold defines a number of associated tensor fields, such as the Riemann curvature tensor. Lorentzian manifolds are pseudo-Riemannian manifolds of

Haken manifolds and their simple and rigid structure leads quite naturally to algorithms. We will consider only the case of orientable Haken manifolds, as