Comparison theorem information

Toponogov's theorem Myers's theorem Hessian comparison theorem Laplacian comparison theorem Morse–Schoenberg comparison theorem Berger comparison theorem, Rauch–Berger...

In Riemannian geometry, the Rauch comparison theorem, named after Harry Rauch, who proved it in 1951, is a fundamental result which relates the sectional...

Bendixson–Dulac theorem (dynamical systems) Berge's theorem (graph theory) Berger–Kazdan comparison theorem (Riemannian geometry) Bernstein's theorem (approximation...

Cheng's eigenvalue comparison theorem Clifford's theorem on special divisors Cohn-Vossen's inequality Erdős–Mordell inequality Euler's theorem in geometry Gromov's...

functions. The squeeze theorem is used in calculus and mathematical analysis, typically to confirm the limit of a function via comparison with two other functions...

In mathematics, the soul theorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature...

to extract global geometric and topological information by comparison (cf. comparison theorem) with the geometry of a constant curvature space form. This...

to the two endpoints of the line. From the fundamental Laplacian comparison theorem proved earlier by Eugenio Calabi, these functions are both superharmonic...

theorem – Proof that every structure with certain properties is isomorphic to another structure Comparison theorem List of manifolds List of theorems...

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...

specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients...

mathematics, specifically differential calculus, the inverse function theorem gives a sufficient condition for a function to be invertible in a neighborhood...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

Grothendieck's axioms Grothendieck category Grothendieck's comparison theorem Grothendieck's connectedness theorem Grothendieck connection Grothendieck construction...

Riemannian manifold. Conjugate points Geodesic deviation equation Rauch comparison theorem N-Jacobi field Manfredo Perdigão do Carmo. Riemannian geometry. Translated...

generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, is a statement about...