Evaluation in Advertising Reception

Bullo, Stella

doi:10.1057/9781137350435

Cited by 13 publications

(2 citation statements)

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“…But it results immediately that∇ = ∇ and then our ∇ can be an useful tool in a conformal nonholonomic mechanics as∇ in the usual nonholonomic theory, see [6].…”

Section: Theorem 13 Given a Sub-weyl Manifold With A Complementary Dmentioning

confidence: 99%

“…g is a global semi-Riemannian metric on M and W is a map with the property (1). It results the Weyl connection∇ given by (6) without Q which is a symmetric, compatible linear connection. Supposing that the given distribution D is semi-Riemannian with respect to g| D then it has an orthogonal complementary distribution D ⊥ with the corresponding projector Q ⊥ .…”

Section: Theorem 13 Given a Sub-weyl Manifold With A Complementary Dmentioning

confidence: 99%

See 1 more Smart Citation

Sub-Weyl Geometry and Its Linear Connections

Constantinescu

Crâşmăreanu

2012

Int. J. Geom. Methods Mod. Phys.

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The aim of this paper is to study from the point of view of linear connections the data [Formula: see text] with M a smooth (n+p)-dimensional real manifold, [Formula: see text] an n-dimensional manifold semi-Riemannian distribution on M, [Formula: see text] the conformal structure generated by g and W a Weyl substructure: a map [Formula: see text] such that W(ḡ) = W(g) - du, ḡ = eug;u ∈ C∞(M). Compatible linear connections are introduced as a natural extension of similar notions from Weyl geometry and such a connection is unique if a symmetry condition is imposed. In the foliated case the local expression of this unique connection is obtained. The notion of Vranceanu connection is introduced for a pair (Weyl structure, distribution) and it is computed for the tangent bundle of Finsler spaces, particularly Riemannian, choosing as distribution the vertical bundle of tangent bundle projection and as one-form the Cartan form.

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“…But it results immediately that∇ = ∇ and then our ∇ can be an useful tool in a conformal nonholonomic mechanics as∇ in the usual nonholonomic theory, see [6].…”

Section: Theorem 13 Given a Sub-weyl Manifold With A Complementary Dmentioning

confidence: 99%

Section: Theorem 13 Given a Sub-weyl Manifold With A Complementary Dmentioning

confidence: 99%