Exponential Map

(Riemannian Geometry)

Logo of Exponential map (Riemannian geometry)
sciences
Riemannian Geometry
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What is Exponential map (Riemannian geometry)?

In Riemannian geometry, an exponential map is a map from a subset of a tangent space TpM of a Riemannian manifold (or pseudo-Riemannian manifold) M to M itself. The (pseudo) Riemannian metric determines a canonical affine connection, and the exponential map of the (pseudo) Riemannian manifold is given by the exponential map of this connection.

Technology Types

chaotic mapcreationdiscrete dynamical systemslie algebralie grouplie theorymaprepresentationriemannian geometry

Synonyms

Bi-invariant metricExponential coordinatesExponential map

Translations

Aplicación exponencial (teoría de Lie) (es)Експонента (теорія груп Лі) (uk)Экспоненциальное отображение (ru)리 지수 사상 (ko)リー環の指数写像 (ja)指數映射 (黎曼幾何) (zh)

Tech Info


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 — Date merged: 11/6/2021, 1:33:01 PM
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