tangent bundle oor Spaans
tangent bundle
Vertalings in die woordeboek Engels - Spaans
fibrado tangente
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Voorbeelde moet herlaai word.
In the case k=1, then the first-order tangent bundle is the usual tangent bundle: T1M = TM.
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We have an invertible linear map from the tangent bundle TM to T. This map is the vierbein.
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It is known that if a complex manifold has a Kähler–Einstein metric, then its tangent bundle is stable.
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As an example, sections of the tangent bundle of a differential manifold are nothing but vector fields on that manifold.
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The two meanings overlap, for example, in the notion of a linear connection on the tangent bundle of a manifold.
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Using the abstract index notation, let a, b, c,... refer to Mp and μ, ν,... refer to the tangent bundle TM.
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The way to view this, in the present context, is to think in terms of the tangent bundle T(M) of M.
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It proves that such jets form a fibre bundle, analogous to the tangent bundle, which is an associated bundle of a jet group.
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The space Jr(π) carries a natural distribution, that is, a sub-bundle of the tangent bundle TJr(π)), called the Cartan distribution.
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Usually a Riemannian manifold is defined as a smooth manifold with a smooth section of the positive-definite quadratic forms on the tangent bundle.
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No mention is made of manifolds or diffeomorphisms, of tangent fibre bundles or invariant tori.
Probablemente lo olióLiterature Literature
In 1952 Georges de Rham proved the de Rham decomposition theorem, a principle for splitting a Riemannian manifold into a Cartesian product of Riemannian manifolds by splitting the tangent bundle into irreducible spaces under the action of the local holonomy groups.
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One can also express the condition for a foliation to be defined as a reduction of the tangent bundle to a block matrix subgroup - but here the reduction is only a necessary condition, there being an integrability condition so that the Frobenius theorem applies.
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For example, if M is a submanifold of N and φ is the inclusion, then a vector field along φ is just a section of the tangent bundle of N along M; in particular, a vector field on M defines such a section via the inclusion of TM inside TN.
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In older literature, the term linear connection is occasionally used for an Ehresmann connection or Cartan connection on an arbitrary fiber bundle, to emphasise that these connections are "linear in the horizontal direction" (i.e., the horizontal bundle is a vector subbundle of the tangent bundle of the fiber bundle), even if they are not "linear in the vertical (fiber) direction".
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Without this identiWcation, we obtain S3 as the (CliVord) bundle B of spinorial tangent vectors to S2 .
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Here is an optimal consumption bundle where the indifference curve doesn’t have a tangent.
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It is known that if a complex manifold has a Kähler–Einstein metric, then its tangent bundle is stable.
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Following Grifone's theory [8], [9], our approach based on the Frölicher - Nijenhuis calculus of vector - valued forms and derivations [7], simplified by the technique of lifting vector fields to the tangent bundle.
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Therefore, they will choose bundles to the left of E (such as D) where their indifference curves are tangent to the feasible frontier.
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20 sinne gevind in 8 ms. Hulle kom uit baie bronne en word nie nagegaan nie.