-
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...
- In mathematics, a
subbundle L {\displaystyle L} of a
vector bundle E {\displaystyle E} over a
topological space M {\displaystyle M} is a
collection of...
- half-dimensional
subbundle E of ( T ⊕ T ∗ ) ⊗ C . {\displaystyle (\mathbf {T} \oplus \mathbf {T} ^{*})\otimes \mathbb {C} .} Such
subbundles are
always isotropic...
- 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...
- (differential topology) in
differential geometry and
topology for
integrable subbundles Frobenius theorem (real
division algebras) in
abstract algebra characterizing...
- 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...
- 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...
-
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...
- on a
manifold splits the
tangent bundle into
three invariant subbundles, with one
subbundle that is
exponentially contracting, and one that is exponentially...
-
complex structure is
actually a
complex structure precisely when
these subbundles are involutive, i.e.,
closed under the Lie
bracket of
vector fields, and...
