- Algebraic geometry
- >
- Analytic geometry
- >
- Curves
- >
- Theorems about curves

- Differential geometry
- >
- Manifolds
- >
- Curves
- >
- Theorems about curves

- Differential topology
- >
- Manifolds
- >
- Curves
- >
- Theorems about curves

- Fields of geometry
- >
- Analytic geometry
- >
- Curves
- >
- Theorems about curves

- Fields of geometry
- >
- Differential geometry
- >
- Curves
- >
- Theorems about curves

- Fields of mathematical analysis
- >
- Differential geometry
- >
- Curves
- >
- Theorems about curves

- Fields of mathematics
- >
- Geometry
- >
- Theorems in geometry
- >
- Theorems about curves

- Geometric objects
- >
- Geometric shapes
- >
- Curves
- >
- Theorems about curves

- Geometric topology
- >
- Manifolds
- >
- Curves
- >
- Theorems about curves

- Mathematical objects
- >
- Geometric shapes
- >
- Curves
- >
- Theorems about curves

- Mathematical problems
- >
- Mathematical theorems
- >
- Theorems in geometry
- >
- Theorems about curves

- Mathematics
- >
- Mathematical theorems
- >
- Theorems in geometry
- >
- Theorems about curves

- Theorems
- >
- Mathematical theorems
- >
- Theorems in geometry
- >
- Theorems about curves

- Topological spaces
- >
- Manifolds
- >
- Curves
- >
- Theorems about curves

Fenchel's theorem

In differential geometry, Fenchel's theorem is an inequality on the total absolute curvature of a closed smooth space curve, stating that it is always at least . Equivalently, the average curvature is

Jordan curve theorem

In topology, the Jordan curve theorem asserts that every Jordan curve (a plane simple closed curve) divides the plane into an "interior" region bounded by the curve and an "exterior" region containing

Fundamental theorem of curves

In differential geometry, the fundamental theorem of space curves states that every regular curve in three-dimensional space, with non-zero curvature, has its shape (and size or scale) completely dete

Tennis ball theorem

In geometry, the tennis ball theorem states that any smooth curve on the surface of a sphere that divides the sphere into two equal-area subsets without touching or crossing itself must have at least

Pestov–Ionin theorem

The Pestov–Ionin theorem in the differential geometry of plane curves states that every simple closed curve of curvature at most one encloses a unit disk.

Newton's theorem about ovals

In mathematics, Newton's theorem about ovals states that the area cut off by a secant of a smooth convex oval is not an algebraic function of the secant. Isaac Newton stated it as lemma 28 of section

Four-vertex theorem

The four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane curve has at least four local extrema (specifically, at least two local maxima and at least two local

© 2023 Useful Links.