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Classification of symplectic toric manifolds
In differential geometry, a field of mathematics, Delzant's theorem provides a complete classification of symplectic toric manifolds in term of a special
Delzant's_theorem
Theorem in group theory
In the mathematical subject of group theory, the Stallings theorem about ends of groups states that a finitely generated group G {\displaystyle G} has
Stallings theorem about ends of groups
Stallings_theorem_about_ends_of_groups
Part of the mathematical subject of group theory
result is also known as the structure theorem. One of the immediate consequences is the classic Kurosh subgroup theorem describing the algebraic structure
Bass–Serre_theory
Algebraic variety containing an algebraic torus
examples in algebraic geometry, which often provide a testing ground for theorems. The geometry of a toric variety is fully determined by the combinatorics
Toric_variety
Concept in mathematics
1.22. Coornaert, Delzant & Papadopoulos 1990, pp. 6–8. Bridson & Haefliger 1999, Chapter III.H, Proposition 1.17. Coornaert, Delzant & Papadopoulos 1990
Hyperbolic_metric_space
Set with associative invertible operation
Kronecker. In 1847, Ernst Kummer made early attempts to prove Fermat's Last Theorem by developing groups describing factorization into prime numbers. The convergence
Group_(mathematics)
hyperbolic plane and performing curvature estimates via the Gauss–Bonnet theorem for a closed loop in the Cayley graph to conclude that such a loop must
Small_cancellation_theory
spheres of all dimension greater than 2. Kapovich & Benakli 2002 Coornaert, Delzant & Papadopoulos 1990 de la Harpe & Ghys 1990 Champetier 1995 Bridson & Haefliger
Gromov_boundary
Mathematical concept
the hyperbolic plane, as implied by the Poincaré—Koebe Uniformisation theorem. Another family of examples of cocompact Fuchsian groups is given by triangle
Hyperbolic_group
Area in mathematics devoted to the study of finitely generated groups
polynomial growth theorem; Stallings' ends theorem; Mostow rigidity theorem. Quasi-isometric rigidity theorems, in which one classifies algebraically all
Geometric_group_theory
Kampen theorem. The main result of the paper on Van Kampen diagrams, now known as the van Kampen lemma can be deduced from the Seifert–Van Kampen theorem by
Van_Kampen_diagram
DELZANTS THEOREM
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