p molino riemannian foliations

T. Inaba, The tangentially a.ne structure of Lagrangian foliations and the tangentially projective structure of Legendrian foliations, Preprint. T. Inaba and K. Masuda, "Tangentially affine foliations and leafwise affine functions on the torus," Kodai Math. J., 16, No. 1, 32-43 (1993).

Cite this chapter. Molino, P. (1988). Basic Properties of Riemannian Foliations. In: Riemannian Foliations. Progress in Mathematics, vol 73.

For Riemannian foliations on closed manifolds, Molino has found a remarkable structure theorem [Mo 8,10]. This theorem is based on several fundamental observations. The first is that the canonical lift (hat {mathcal {F}}) of a Riemannian foliation F to the bundle (hat {M}) of orthonormal frames of Q is a transversally parallelizable ...

Pierre Molino. Chapter. 743 Accesses. 16 Citations. Part of the book series: Progress in Mathematics ( (PM,volume 73)) Abstract. The global geometry of Riemannian foliations …

Molino's theory is a mathematical tool for studying Riemannian foliations. In this paper, we propose a generalization of Molino's theory with two Riemannian foliations. For this …

Book Title: Riemannian Foliations. Authors: Pierre Molino. Series Title: Progress in Mathematics. DOI: https://doi/10.1007/978-1-4684-8670-4. Publisher: Birkhäuser …

1.1. We first give a typical example where tori actions on orbifolds arise naturally. Let H be a connected subgroup of the Lie group of isometries of an orientable Riemannian manifold Y. Let us assume that H acts locally freely on Y. Then the orbits under H of the points of Y are the leaves of a Riemannian foliation on Y. Assume that the closure H of H is compact. …

Background on Riemannian foliations. In this section we recall various definitions and results in the theory of Riemannian foliations that we shall need in later sections. We give a brief overview of Molino's theory [36] and discuss transfer of basic vector bundles to the Molino manifold. 2.1. Riemannian foliations

Finiteness and tenseness theorems for Riemannian foliations. D. Domínguez. Mathematics. 1998; We prove a finiteness theorem for ... P. Molino. Mathematics. 1982; 90. Save. Chapter 2 Foliations. Raymond. Barre A ... We study framed foliations such that the framing of the normal bundle can be chosen to be invariant under the linear holonomy of ...

Cite this chapter. Molino, P. (1988). Elements of Foliation Theory. In: Riemannian Foliations. Progress in Mathematics, vol 73.

Molino theory consists of a structural theory for Riemannian foliations developed by P. Molino and others in the decade of 1980. In this section we summarize …

Due to the theorem about structure of leaves by P.Molino, ... which can help the readers to form basic concepts about Riemannian foliations, for example Theorem 2.2.2, Proposition 2.2.4.

It is shown that a suitable conformai change of the metric in the leaf direction of a transversally oriented Riemannian foliation on a closed manifold will make the basic component of the mean curvature harmonic. As a corollary, we deduce vanishing and finiteness theorems for Riemannian foliations without assuming the harmonicity of the …

Molino's description of Riemannian foliations on compact manifolds extends to compact equicontinuous foliated spaces as developed by Àlvarez Lòpez and …

P. Molino, Riemannian Foliations, Progress in Mathematics, vol. 73, Birhäuser, Boston, 1988. [6] M. Popescu, P. Popescu, Lagrangians adapted to submersions and foliations, Differential Geometry and its Applications 27 (2) (2009) 171â€"178. [7] Z. Shen, Differential Geometry of Spray and Finsler Spaces, Kluwer …

by Molino. View More. Paperback (Softcover reprint of the original 1st ed. 1988) $129.99 . Paperback (Softcover reprint of the original 1st ... the universal covering of the leaves.- 3.6. Riemannian foliations with compact leaves and Satake manifolds.- 3.7. Riemannian foliations defined by suspension.- 3.8. Exercises.- 4 Transversally ...

Molino, Pierre Published: Boston, MA : Birkhäuser Boston, 1988. Physical Description: XII, 344 pages : online resource ... the universal covering of the leaves -- 3.6. Riemannian foliations with compact leaves and Satake manifolds -- 3.7. Riemannian foliations defined by suspension -- 3.8. Exercises -- 4 Transversally Parallelizable Foliations ...

P. Molino, Riemannian foliations, Progress in Mathematics vol. 73, Birkhäuser Boston 1988. Jan 1988; Lect Notes Math; R S Palais; C L Terng; R.S.Palais and C.L. Terng, Critical point theory and ...

Closure of singular foliations: the proof of Molino's conjecture. Part of: Differential topology Global differential geometry Published online by Cambridge University Press: ... One of the most fundamental results in the theory of singular Riemannian foliations is the homothetic transformation lemma. A deeper discussion of this lemma, ...

Riemannian Foliations (Progress in Mathematics) Softcover reprint of the original 1st ed. 1988 Edition. by Molino (Author) See all formats and editions. Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a ...

Typical examples of singular Riemannian foliations with sections are the set of orbits of a polar action, parallel submanifolds of an isoparametric submanifold in a …

The main goal of this article is to survey the classical theory of Riemannian and Killing foliations, including Molino's structural theory and the pseudogroup …

Using a new type of Jacobi field estimate we will prove a duality theorem for singular Riemannian foliations in complete manifolds of nonnegative sectional curvature. ... Riemannian Foliations. P. Molino G. Cairns. Mathematics. 1988; 695. PDF. 1 Excerpt; Save. Related Papers. Showing 1 through 3 of 0 Related Papers. 88 Citations; 10 …

Riemannian Foliations. P. Molino, G. Cairns. Published 1988. Mathematics. View via Publisher. link.springer. Save to Library. Create Alert. Cite. 688 Citations. Citation …

W e are going to work in the framework of the singular riemannian foliations introduced by Molino. 1.1 The SRF. A singular riemannian foliation (SRF for short) on a manifold M is a partition.

We present a new link between the Invariant Theory of infinitesimal singular Riemannian foliations and Jordan algebras. This, together with an inhomogeneous version of Weyl's First Fundamental Theorems, provides a characterization of the recently discovered Clifford foliations in terms of basic polynomials. This link also yields new …

There is a rich and detailed theory of Riemannian foliations (M, F, g) due to Molino [36] and further developed by several authors (see also, for example, the references [45], [26], [35]); we survey parts of this theory in Section 2. ... We give a brief overview of Molino's theory [36] and discuss transfer of basic vector bundles to the Molino ...

We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov–Hausdorff limits. Our main results explicitly identify such collapsed limits as flat orbifolds, and provide algebraic and geometric criteria to determine whether they are singular.

All results are proven in the more general case of singular Riemannian foliations. We prove that an isometric action of a Lie group on a Riemannian manifold admits a resolution preserving the transverse geometry if and only if the action . ... Molino P.: Riemannian Foliations. Birkhäuser Boston, Inc, Boston (1988)

Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger's Bourbaki seminar [11], and the book of P. Molino [18] is the standard ref-erence for Riemannian foliations. In one of the appendices to this book, E. Ghys proposes the problem of developing a theory of equicontinuous foliated spaces paralleling ...

Regular Riemannian foliations are relatively well known and have a robust structural theory, due mainly to P. Molino [21]. This theory establishes that the leaf closures of …

P. Molino, Riemannian Foliations, Progr. Math., Birkhäuser, 1988. [4] R. Wolak, Basic cohomology for singular Riemannian foliations, Monatsh. Math. 128 (1999) 159â€"163. nrightbig for an open set U ⊂ M/ overbar F. It is the derived sheaf ofA t F . With the differential induced by d,H q (p,A ∗ F ) is a differential sheaf.