Foliated manifolds with bundle-like metrics

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August undefined, 2024

Webfoliated manifold with a bundle-like metric to admit a Riemannian submersion onto its leaf space in a natural way. The main result, Theorem 2.2, says that this will occur whenever … WebFeb 1, 1982 · This note furnishes a necessary and sufficient condition for a bundle-like foliation to be defined globally by a Riemannian submersion. Article Full-text available Foliations by minimal surfaces...

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WebOct 22, 2016 · The induced bundle by the bundle map is isomorphic to the domain bundle. Therefore, bundle maps can also be regarded as an equivalence relation for vector bundles as isomorphisms do. See [17]. 4. Here we have not assumed orientations on the manifolds and foliations, hence foliated diffeomorphisms need not to be orientation … WebDec 2, 2024 · From [BK1,WZ] and Theorem 1, the same claim as [Miy2, Theorem 1.1 and Theorem 1.2] holds for basic Higgs bundles and the basic second Chern class over … traditional medicare or advantage plan

n arXiv:1306.5159v1 [math.DG] 21 Jun 2013

WebJan 22, 2016 · In [5], R. Thorn has started the study of the foliated structures by using the Morse theory. Recently K. Yamato [7] has studied the topological properties of leaves of a codimension one foliated manifold by investigating the “critical points” of variation equation of the given one-form. Type Research Article Information WebJ. Math. Soc. Japan Vol. 35. No. 2, 1983 Behavior of geodesics in foliated manifolds with bundle-like metrics By Shinsuke YOROZU (Received Dec. 22, 1981) 1. Introduction. Foliated traditional medicare plans explanation

SUFFICIENT CONDITIONS FOR A BUNDLE-LIKE …

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WebDec 1, 2024 · Recall that a metric defined on a foliated manifold is said to be bundle-like if locally it can be identified with a Riemannian submersion [12]. The Vaisman metric is … WebJan 1, 1982 · A foliated analog (cf. Theorem 3.2) may then be stated in terms of the transverse Ricci curvature (and turns out to be related to the geometry of infinitesimal conformal transformations of a... traditional medicare health insuranceWebOn the other hand, given a foliated Riemannian manifold (M,F,g), the metric galways induces a metric gQ along the ﬁbers of Q:= TM/L≃ L⊥. Such gQ makes F a Riemannian foliation if and only if it satisﬁes the holonomy invariant condition (1). In this case gis called a bundle-like metric. traditional medicaid texas pest control

"WebIntroduction. La differentiabilite est entendue au sens C∞. Un flot riemannien est un triple (V, F, gT), ou V est une n-variete, F un feuilletage oriente de dimension 1, et gT une metrique transverse, c-a-d. une structure euclidienne sur le fibre normal Q=TV/TF, localement projetable en une structure riemannienne sur une variete transverse. Un cas important … " - Foliated manifolds with bundle-like metrics

Foliated manifolds with bundle-like metrics

$n arXiv:1306.5159v1 [math.DG] 21 Jun 2013$

WebApr 2, 2008 · We introduce the notion of a foliated Riemannian manifold of constant transversal Vrănceanu curvature and the notion of a transversal Einstein foliated … WebIn [S32, L62], Schrödinger and, independently, Lichnerowicz proved that for any bundle of spinors S over a spin manifold M , the Atiyah-Singer operator 6 ∂ and the connection Laplacian ∇∗ ∇ on S are related by 1 6 ∂ 2 = ∇∗ ∇ + κ, 4 Pn where κ is the scalar curvature of M , that is κ = − i,j=1 hRei ,ej (ei ), ej i, where e1 ...

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WebSign In Help ... WebJan 1, 1994 · De Rham decomposition theorem for foliated manifolds. Ann. Inst. Fourier, 33 (1983), pp. 183-198. CrossRef View Record in Scopus Google Scholar. ... Article Metrics. View article metrics. About ScienceDirect; Remote access; Shopping cart; Advertise; Contact and support; Terms and conditions;

WebApril, 1983 Behavior of geodesics in foliated manifolds with bundle-like metrics. Shinsuke YOROZU. J. Math. Soc. Japan 35(2): 251-272 (April, 1983). DOI: … Web1) for such a metric to exist? For instance, in [ SC95] it is proven that the set of all bundle-like metrics on a compact foliated manifold is a differentiable infinite dimensional …

Webtransported metric. This metric can be lifted to a bundle-like metric (not unique) on the other foliated manifold making the second foliation Riemannian. The same procedure can be applied to any geometrical structure, for the discussion of this general procedure see [20, 19]. The space of HU-invariant k-forms on the manifold NU can be ... WebOct 1, 2015 · We prove first that the above condition regarding the transverse divergence implies that the foliation is non-taut. As the metric g is bundle-like, it is easy to see that …

WebJan 16, 2024 · A metric defined on a foliated manifold is said to be bundle-like if locally it can be identified with a Riemannian submersion [ 40 ]. In the case of a Vaisman manifold, the metric falls in this category …

WebFoliated Manifolds with Bundle-Like Metrics @article{Reinhart1959FoliatedMW, title={Foliated Manifolds with Bundle-Like Metrics}, author={Bruce L. Reinhart}, … traditional medicare prior authorizationWebTransverse Hermitian–Einstein metrics Let E !X be a foliated Hermitian vector bundle on a compact oriented, taut, transverse Gauduchon manifold. A basic unitary connection A … traditional medicinal plants and malaria pdfWebTransverse holomorphic bundles A foliated principal G-bundle corresponds to a basic Cech cocycleˇ fgab: Uab!Gg. A vector bundle E is foliated if its frame bundle is foliated. A connection A on P is basic if A 2W1 B (P,g). A transverse Hermitian metric on E is a Hermitian metric which is basic as a section of E E. the sand bar tybeeWebBehavior of geodesics in foliated manifolds with bundle-like metrics @article{Yorozu1983BehaviorOG, title={Behavior of geodesics in foliated manifolds with bundle-like metrics}, author={Shinsuke Yorozu}, journal={Journal of The Mathematical Society of Japan}, year={1983}, volume={35}, pages={251-272} } S. Yorozu; Published 1 … the sand bar tyngsboroWebMar 1, 1995 · We show that the coisotropic totally geodesic properly embedded submanifolds of codimension 1 of a simply connected complete Kähler manifold of non-positive sectional curvature are symplectically linearizable. Symplectic coisotropic MSC … traditional medicare timely filingWebMar 5, 2008 · Reinhart, B.: Foliated manifolds with bundle-like metrics. Ann. of Math. 69, 119–132 (1959) Article MathSciNet Google Scholar Tondeur, Ph.: Foliations on Riemannian manifolds. Springer, New York (1988) MATH Google Scholar Tondeur, Ph., Toth, G.: On transversal infinitesimal automorphisms for harmonic foliations. the sandbar tiki englewood flWebFoliated Manifolds with Bundle-Like Metrics (1959) Bruce L. Reinhart 373 Citations. This article is published in Annals of Mathematics.The article was published on 1959 … the sandbar vancouver