In this paper we study singular riemannian foliations that have sections,i.e., totally geodesic complete immersed submanifolds that meet each leaf orthogonally and whose dimensions are the codimensions of the regular leaves. We prove here that the restriction of the foliation to a slice of a leaf is diffeomorphic to an isoparametric foliation …
Topology of the Generic Hamiltonian Dynamical Systems on the Riemann Surfaces given by the real part of the generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis of Cycles (TCB). This approach allows us to present a convenient combinatorial model of the whole topology of the flow, …
Riemannian Foliations. P. Molino, G. Cairns. Published 1988. Mathematics. View via Publisher. link.springer. Save to Library. Create Alert. Cite. 688 Citations. Citation …
Pierre Molino. Part of the book series: Progress in Mathematics ( (PM,volume 73)) 752 Accesses. 16 Citations. Abstract. The global geometry of Riemannian foliations that we …
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 …
The closures of the leaves of a singular Riemann-ian foliation are submanifolds, and the restriction of Fto one of these leaf closures is a [transversally locally homogeneous] …
Riemannian foliations with compact leaves and Satake manifolds -- 3.7. Riemannian foliations defined by suspension -- 3.8. Exercises -- 4 Transversally Parallelizable Foliations -- 4.1. The basic fibration -- 4.2. CompIete Lie foliations -- 4.3. The structure of transversally parallelizable foliations -- 4.4. The commuting sheaf C(M, F) -- 4.5.
We describe the space of measured foliations induced on a compact Riemann surface by meromorphic quadratic differentials. We prove that any such foliation is realized by a unique such differential q if we prescribe, in addition, the principal parts of $$sqrt{q}$$ q at the poles. This generalizes a theorem of Hubbard and Masur for holomorphic quadratic …
GEOMETRY I: THE RIEMANN-HILBERT CORRESPONDENCE BERTRAND TOEN AND GABRIELE VEZZOSI Abstract. This is the rst in a series of papers about foliations in derived geometry. After introducing derived foliations on arbitrary derived stacks, we concentrate on quasi-smooth and rigid derived foliations on smooth complex algebraic …
Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations. Marcos M. Alexandrino, Francisco C. Caramello Jr. A …
We are motivated by a conjecture of Anosov: for a generic holomorphic foliation on ({mathbb {P}}^2), all but countably many leaves are disks (see e.g. Ilyashenko ). Our main concern is holomorphic foliations on ({mathbb {P}}^k). Generically, such a foliation does not admit a non-trivial directed image of the complex plane, and in ...
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 …
273 Citations. Search within this book. Table of contents (6 chapters) Front Matter. Pages i-xii. Download chapter PDF. Elements of Foliation Theory. Pierre Molino. Pages 1-31. …
E. Ghys in [E. Ghys, Appendix E: Riemannian foliations: Examples and problems, in: P. Molino (Ed.), Riemannian Foliations, Birkhäuser, Boston, 1988, pp. 297–314. [3]] has posed a question (still unsolved) if any Finslerian foliation is a Riemannian one? In this paper we prove that the natural lift of a Finslerian foliation to its normal ...
P. Molino, Riemannian foliations. Progress in Mathematics 73. Birkhäuser Boston, Inc., Boston, MA, 1988. Münzner H.F.: Isoparametrische Hyperflächen in Sphären. ... An extended version of a talk given at the international workshop Riemann International School of Mathematics held in Verbania, Italy, April 19-24, 2009. Rights and permissions ...
Riemann P oisson manifolds w ere in tro duced b y the author in [1] and studied in more details in [2]. K¨ ahler-Riemann foliations form an inte resting subset
Kähler-Riemann foliations form an interesting subset of the Riemannian foliations with remarkable properties (see Ann. Global Anal. Geom. 21 (2002) 377-399). ... P. Molino, Riemannian Foliations ...
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 vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M into curves, i.e. a foliation of codimension n - 1.
In Chapter 2 we introduced the notion of a Riemannian foliation: this is a foliation whose normal bundle is equipped with a metric which is, in an appropriate sense, invariant under …
Precisely, we give the first and second variational formulas for $ (mathcal F,mathcal F')_ {p}$-harmonic maps. We also investigate the generalized Weitzenb"ock type formula and the Liouville ...
Topology of Foliations of the Riemann Surfaces given by the real part of generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis of Cycles (TCB) instead of using just one closed transversal curve as in the classical approach of the ergodic theory. In some cases the TCB approach allows us to …
Cite this chapter. Molino, P. (1988). Basic Properties of Riemannian Foliations. In: Riemannian Foliations. Progress in Mathematics, vol 73.
which is not identically zero. Here, the F j 's are homogeneous holomorphic polynomials of a fixed degree d without nontrivial common divisor. The homogeneity permits to descend the integral curves of Z in (mathbb C^{k + 1}) to a foliation by Riemann surfaces (mathscr{F}) in (mathbb P^{k}).Moreover, all holomorphic foliations in …
Authors and Affiliations. Institut de Mathématiques, Université des Sciences et Techniques du Languedoc, 34060, Montpellier Cedex, France. Pierre Molino
Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger's Bourbaki seminar [6], and the book of P. Molino [13] is the standard refer . Read More P. Molino Semantic Scholar. Semantic Scholar profile for P. Molino, with 122 highly influential citations and 18 scientific research papers.
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 …
On rigidity of Lie foliations Riemannian Foliations Molino Springer. E of Riemannian foliations by P Molino Progr Math 78 Birkh auser Boston Basel 3 A Hae iger Groupo des d'holonomie et classi ants in Structure transverse des feuilletages Toulouse pp 70{97 Ast erisque 116 4 G Singular Riemannian Foliations Pages 185 216 Molino ...