What does subbundle mean?
Definitions for subbundle
sub·bun·dle
This dictionary definitions page includes all the possible meanings, example usage and translations of the word subbundle.
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Wiktionary
subbundlenoun
A collection of linear subspaces of the fibers V of V at x in X (where V is a vector bundle and X a topological space), that make up a vector bundle in their own right.
Wikipedia
Subbundle
In mathematics, a subbundle U {\displaystyle U} of a vector bundle V {\displaystyle V} on a topological space X {\displaystyle X} is a collection of linear subspaces U x {\displaystyle U_{x}} of the fibers V x {\displaystyle V_{x}} of V {\displaystyle V} at x {\displaystyle x} in X , {\displaystyle X,} that make up a vector bundle in their own right. In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution (of tangent vectors). If a set of vector fields Y k {\displaystyle Y_{k}} span the vector space U , {\displaystyle U,} and all Lie commutators [ Y i , Y j ] {\displaystyle \left[Y_{i},Y_{j}\right]} are linear combinations of the Y k , {\displaystyle Y_{k},} then one says that U {\displaystyle U} is an involutive distribution.
Wikidata
Subbundle
In mathematics, a subbundle U of a vector bundle V on a topological space X is a collection of linear subspaces Ux of the fibers Vx of V at x in X, that make up a vector bundle in their own right. In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution. If a set of vector fields Yk span the vector space U, and all Lie commutators [Yi,Yj] are linear combinations of the Yk, then one says that U is an involutive distribution.
Numerology
Chaldean Numerology
The numerical value of subbundle in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of subbundle in Pythagorean Numerology is: 1
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"subbundle." Definitions.net. STANDS4 LLC, 2024. Web. 18 Mar. 2024. <https://www.definitions.net/definition/subbundle>.
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