Natural bundle

In mathematics, a natural bundle is any fiber bundle associated to the s-frame bundle F^s(M) for some s \geq 1. ^[1]

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Table of Contents

1. 5 relations: Albert Nijenhuis, Fiber bundle, Manifold, Mathematics, Tangent bundle.

Albert Nijenhuis

Albert Nijenhuis (November 21, 1926 – February 13, 2015) was a Dutch-American mathematician who specialized in differential geometry and the theory of deformations in algebra and geometry, and later worked in combinatorics.

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Fiber bundle

In mathematics, and particularly topology, a fiber bundle (''Commonwealth English'': fibre bundle) is a space that is a product space, but may have a different topological structure.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. Natural bundle and manifold are manifolds.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Tangent bundle

A tangent bundle is the collection of all of the tangent spaces for all points on a manifold, structured in a way that it forms a new manifold itself.

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References

[1] https://en.wikipedia.org/wiki/Natural_bundle

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