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Vertical and horizontal bundles

In mathematics, the vertical bundle and the horizontal bundle are vector bundles associated to a smooth fiber bundle. More precisely, given a smooth fiber bundle π : E → B {\displaystyle \pi \colon E\to B} , the vertical bundle V E {\displaystyle VE} and horizontal bundle H E {\displaystyle HE} are subbundles of the tangent bundle T E {\displaystyle TE}…

Properties, Formal definition & Overview

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Explore the main themes, entities and connections around Vertical and horizontal bundles. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Formal definition

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Properties

Advanced semantic analysis

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Map overview Semantic statistics

Vertical and horizontal bundles

Nodes42
Edges41
Triples14
Avg. degree1.95
Density0.047619
Components1

How this topic connects Entity context

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Vertical and horizontal bundles

Top relations

related to Properties · 14
Vertical and horizontal bundles → By, For, G-invariant, In, Indeed, Levi-Civita, Note, One, Some, TE, That, The, Theta, Various

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

bundle vertical horizontal displaystyle form connection point fiber tangent space pi vector te smooth ve subbundle one subspaces choice fibers

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vertical and horizontal bundlesrelated to PropertiesVarious0.60section
Vertical and horizontal bundlesrelated to PropertiesSome0.60section
Vertical and horizontal bundlesrelated to PropertiesThat0.60section
Vertical and horizontal bundlesrelated to PropertiesThe0.60section
Vertical and horizontal bundlesrelated to PropertiesIn0.60section
Vertical and horizontal bundlesrelated to PropertiesBy0.60section
Vertical and horizontal bundlesrelated to PropertiesFor0.60section
Vertical and horizontal bundlesrelated to PropertiesLevi-Civita0.60section
Vertical and horizontal bundlesrelated to PropertiesIndeed0.60section
Vertical and horizontal bundlesrelated to PropertiesTE0.60section
Vertical and horizontal bundlesrelated to PropertiesOne0.60section
Vertical and horizontal bundlesrelated to PropertiesTheta0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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