Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Differential geometry and Poincaré–Birkhoff theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Differential geometry and Poincaré–Birkhoff theorem

Differential geometry vs. Poincaré–Birkhoff theorem

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry. In symplectic topology and dynamical systems, Poincaré–Birkhoff theorem (also known as Poincaré–Birkhoff fixed point theorem and Poincaré's last geometric theorem) states that every area-preserving, orientation-preserving homeomorphism of an annulus that rotates the two boundaries in opposite directions has at least two fixed points.

Similarities between Differential geometry and Poincaré–Birkhoff theorem

Differential geometry and Poincaré–Birkhoff theorem have 4 things in common (in Unionpedia): Annulus (mathematics), George David Birkhoff, Henri Poincaré, Symplectic geometry.

Annulus (mathematics)

In mathematics, an annulus (the Latin word for "little ring" is anulus/annulus, with plural anuli/annuli) is a ring-shaped object, a region bounded by two concentric circles.

Annulus (mathematics) and Differential geometry · Annulus (mathematics) and Poincaré–Birkhoff theorem · See more »

George David Birkhoff

George David Birkhoff (March 21, 1884 – November 12, 1944) was an American mathematician best known for what is now called the ergodic theorem.

Differential geometry and George David Birkhoff · George David Birkhoff and Poincaré–Birkhoff theorem · See more »

Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

Differential geometry and Henri Poincaré · Henri Poincaré and Poincaré–Birkhoff theorem · See more »

Symplectic geometry

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.

Differential geometry and Symplectic geometry · Poincaré–Birkhoff theorem and Symplectic geometry · See more »

The list above answers the following questions

Differential geometry and Poincaré–Birkhoff theorem Comparison

Differential geometry has 141 relations, while Poincaré–Birkhoff theorem has 7. As they have in common 4, the Jaccard index is 2.70% = 4 / (141 + 7).

References

This article shows the relationship between Differential geometry and Poincaré–Birkhoff theorem. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »