3-manifolds Theorems in geometry
Euclidean geometry Theorems in geometry
De Gua's theorem
Theorems in geometry
Euclidean symmetries Rotation in three dimensions Theorems in geometry
Euler's rotation theorem
Symplectic geometry Theorems in geometry
Non-squeezing theorem
2π theorem
2π theorem In mathematics, the 2π theorem of Gromov and Thurston states…
Ver teoremaNiven's theorem
Niven's theorem In mathematics, Niven's theorem, named after Ivan Niven, states that…
Ver teorema Euclidean geometry Metric geometry Theorems in geometry
Beckman–Quarles theorem
Beckman–Quarles theorem In geometry, the Beckman–Quarles theorem, named after F. S. Beckman…
Ver teorema Abelian varieties Algebraic varieties Theorems in geometry
Theorem of the cube
Theorem of the cube In mathematics, the theorem of the cube is…
Ver teoremaAnderson's theorem
In mathematics, Anderson's theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease if K is translated inwards towards the origin. This is a natural statement, since the graph of f can be thought of as a hill with a single peak over the origin; however, for n ≥ 2, the proof is not entirely obvious, as there may be points x of the body K where the value f(x) is larger than at the corresponding translate of x.
Ver teoremaJung's theorem
Jung's theorem In geometry, Jung's theorem is an inequality between the diameter…
Ver teorema Theorems in geometry Theorems in linear algebra
Principal axis theorem
Principal axis theorem In the mathematical fields of geometry and linear algebra,…
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