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Besicovitch inequality, the Glossary

In mathematics, the Besicovitch inequality is a geometric inequality relating volume of a set and distances between certain subsets of its boundary.^[1]

9 relations: Abram Besicovitch, Degree of a continuous mapping, Dmitri Burago, Geometry, Metric Structures for Riemannian and Non-Riemannian Spaces, Riemannian geometry, Riemannian manifold, Systolic geometry, Yuri Burago.
Geometric inequalities

Abram Besicovitch

Abram Samoilovitch Besicovitch (or Besikovitch; Абра́м Само́йлович Безико́вич; 23 January 1891 – 2 November 1970) was a Russian mathematician, who worked mainly in England.

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Degree of a continuous mapping

In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping.

See Besicovitch inequality and Degree of a continuous mapping

Dmitri Burago

Dmitri Yurievich Burago (Дмитрий Юрьевич Бураго, born 1964) is a leading Russian - American mathematician, specializing in differential, Riemannian, Finsler geometry, geometric analysis, dynamical systems and applications to mathematical physics.

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Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

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Metric Structures for Riemannian and Non-Riemannian Spaces

Metric Structures for Riemannian and Non-Riemannian Spaces is a book in geometry by Mikhail Gromov.

See Besicovitch inequality and Metric Structures for Riemannian and Non-Riemannian Spaces

Riemannian geometry

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an inner product on the tangent space at each point that varies smoothly from point to point).

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Riemannian manifold

In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature are defined.

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Systolic geometry

In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its arithmetical, ergodic, and topological manifestations.

See Besicovitch inequality and Systolic geometry