Definition of Subbundles. Meaning of Subbundles. Synonyms of Subbundles

- 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...
- taking subbundles of other vector bundles. Given a vector bundle π : E → X {\displaystyle \pi :E\to X} over a topological space, a subbundle is simply...
- (differential topology) in differential geometry and topology for integrable subbundles Frobenius theorem (real division algebras) in abstract algebra characterizing...
- with distributions, that is smooth subbundles D of the tangent bundle TM; and the other which operates with subbundles of the graded ring Ω(M) of all forms...
- a smooth map f if its tangent bundle may be split into two invariant subbundles, one of which is contracting and the other is expanding under f, with...
- E {\displaystyle VE} and horizontal bundle H E {\displaystyle HE} are subbundles of the tangent bundle T E {\displaystyle TE} of E {\displaystyle E} whose...
- proper non-zero subbundles V of W and is semistable if μ ( V ) ≤ μ ( W ) {\displaystyle \mu (V)\leq \mu (W)} for all proper non-zero subbundles V of W. Informally...
- complex structure is actually a complex structure precisely when these subbundles are involutive, i.e., closed under the Lie bracket of vector fields, and...
- map is given as follows: since X is compact, any vector bundle E is a subbundle of a trivial bundle: E ↪ X × R n + k {\displaystyle E\hookrightarrow X\times...
- half-dimensional subbundle E of ( T ⊕ T ∗ ) ⊗ C . {\displaystyle (\mathbf {T} \oplus \mathbf {T} ^{*})\otimes \mathbb {C} .} Such subbundles are always isotropic...