In the part of mathematics referred to as topology, a surface is a two-dimensional manifold. Some surfaces arise as the boundaries of three-dimensional...

below. Classification of Euclidean plane isometries Classification theorems of surfaces Classification of two-dimensional closed manifolds – Two-dimensional...

of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of...

Enriques surfaces in characteristic 2, and quasi-hyperelliptic surfaces in characteristics 2 and 3. The Enriques–Kodaira classification of compact complex...

uniformization theorem states that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: the open unit disk...

surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can...

A Guide to the Classification Theorem for Compact Surfaces is a textbook in topology, on the classification of two-dimensional surfaces. It was written...

mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work...

genus of such a surface is g. A genus g surface is a two-dimensional manifold. The classification theorem for surfaces states that every compact connected...

algebraic surfaces include (κ is the Kodaira dimension): κ = −∞: the projective plane, quadrics in P3, cubic surfaces, Veronese surface, del Pezzo surfaces, ruled...