Email: [email protected]
tel: +8618221755073
Email: [email protected]tel: +8618221755073
manifolds, tensors, and Riemannian geometry itself. The first substantial question we take up is the existence of Riemannian metrics. It is interesting that we can immediately use Riemannian metrics as a tool to shed some light on the existence of semi-Riemannian metrics of nontrivial index. Theorem 1.1 (Existence of Riemannian metrics).
Daha fazla öğrenin
so on. As an application, we consider fractional p-Laplacian equations with homogeneous Dirichlet boundary conditions (g)s pu(x) = f(x;u) in ; u = 0 in M n; where N > ps with s 2(0;1), p 2(1;1), (g)sp is the fractional p-Laplacian on Riemannian manifolds, (M;g) is a compact Riemannian N manifold, is an open bounded subset of M with smooth ...
Daha fazla öğrenin
References top [1] R. Almeida - P. Molino - Flots riemanniens sur les 4-variétés compactes, Tohoku Math. Jour.38 (1986), 313-326. Zbl0603.57017 MR843815 [2] R. Brooks - Some Riemannian and dynamical invariants of foliations, in Differential Geometry, Proceed.
Daha fazla öğrenin
relation by p qif and only if there exists a 2R = R f0gsuch that p= q. Let RPm be the quotient space (Rm+1 f0g)= and ˇ: Rm+1 f0g!RPm be the natural projection, mapping a point p 2Rm+1 f0gto the equivalence class [p] 2RPm containing p. Equip RPm with the quo-tient topology induced by ˇand Ton Rm+1. For k2f1;:::;m+ 1g put Uk= f[p] 2RPmjpk6=0g
Daha fazla öğrenin
Semantic Scholar profile for P. Molino, with 122 highly influential citations and 18 scientific research papers. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 207,866,480 papers from all fields of science ... Riemannian Foliations. P. Molino ...
Daha fazla öğrenin
CR manifolds is considered in Chapter 2. Sections 2.3 to 2.5 are imitative of P. Ton-deur's exposition of the geometry of foliations on Riemannian manifolds, cf. [243], p. 47-73, and the similarity comes from the fact that in the nondegenerate case CR manifolds possess a canonical metric (the Webster metric) and connection (the
Daha fazla öğrenin
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 ...
Daha fazla öğrenin
Definition 1.1. A partition F of a complete Riemannian manifold M by connected immersed submanifolds (the leaves) is called a singular foliation of M if it verifies condition (1) and singular Riemannian foliation if it verifies conditions (1) and (2): (1) F is singular, i.e., the module X F of smooth vector fields on M that are tangent at each ...
Daha fazla öğrenin
An -dimensional Ricci soliton is a Riemannian manifold on which there is a smooth vector field (called potential field) satisfying (cf. ) ... P. Molino, Riemannian Foliations, vol. 73 of Progress in Mathematics, Birshauser Bosten, Inc, Boston, MA USA, 1988. View at: …
Daha fazla öğrenin
Higher-order partial connections are studied. We find conditions under which the Lie jet of a field of a geometric object ξ in the direction of the field of Weil 𝔸-velocities Y coincides with the covariant derivative ∇Yξ of this field with respect to some higher-order partial connection.
Daha fazla öğrenin
C. Curras-Bosch and P. Molino, Voisinage d'une feuille compacte dans un feuilletage lagrangien: le problème de linéarisation symplectique, Hokkaido Math. J. 23 (1994), 355-360. C. Curras-Bosch and P. Molino, Réduction symplectique d'un feuilletage lagrangien an voisinage d'une feuille compacte, C. R. Acad. Sci. Paris 318 (1994), 661-664.
Daha fazla öğrenin
P. Molino, Riemannian Foliations, vol. 73 of Progress in Mathematics, Birshauser Bosten, Inc, Boston, MA USA, 1988. View at: Publisher Site W. Wylie, "Complete shrinking Ricci solitons have finite fundamental group," Proceedings of the American Mathematical Society, vol. 136, no. 5, pp. 1803–1807, 2008. View at: Publisher Site | Google Scholar
Daha fazla öğrenin
P. Molino, Riemannian Foliations. Progress in Mathematics, 73. Birkhauser, 1988. G. Reeb, Sur les structures feuilletées de codimension 1 et sur un théorème de M. A. Denjoy, Ann. Inst. Fourier, (1961), 185-200. D. Tischler, On fibering certain manifold over the circle, Topology 9 (1970), 153-154. Ph. Tondeur, Geometry of foliations.
Daha fazla öğrenin
Semantic Scholar extracted view of "Riemannian Foliations" by P. Molino et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 205,489,304 papers from all fields of science. Search. Sign In Create Free Account. DOI: 10.1007/978-1-4684-8670-4;
Daha fazla öğrenin
There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that ... Molino's structural theory for Riemannian foliations in Section4, establishing some relations of it with the structural theory for pseudogroups of isometries. Section5introduces Killing
Daha fazla öğrenin
The structural theory for regular Riemannian foliations, due mainly to P. Molino [23], estab-lishes that the leaf closures of such a foliation form a singular foliation and are described by the action of a locally constant sheaf of Lie algebras of transverse Killing vector fields (see Section 3 for more details).
Daha fazla öğrenin
13. V. Sergiescu: Baszc cohomology and tautness of riemannian foliations. Appendix B in P. Molino, Riemannian Foliations, PIN:'gress in Math. 73 Birkhäuser, 1988. 14. Ph. Tondeur: Geometry of Foliations, Mon. in Math. 90 Birkhäuser 1997. ... Molino's Desingularisation If W is a SRF on the closed manifold N, we denote by (N, W) its …
Daha fazla öğrenin
foliation F, ie., that F is a Riemannian foliation with a bundle-like transverse metric in the sense of Rienhart. We refer to the excellent book of Molino [3]. For each vector field V on S, let V be the normal field to F such that V(x) is the projection on the subspace of T0S orthogonal to X,(x). Monna [5] defines a transverse metric - by the ...
Daha fazla öğrenin
In [6] P. Molino described in detail a new class of SRF called orbit{like foliations. The main characteristic feature of these foliations is the fact that any point x has an adapted neighbourhood in which the foliation is the product of an open neighbourhood of xin the leaf L x passing through this point and the foliation
Daha fazla öğrenin
Singular Riemannian foliations in Euclidean spaces, and their algebraic structure. The basic material will be loosely based on the following sources: P. Molino, Riemannian foliations, Progress in Mathematics 73, Birkh auser Boston (1988). D. Gromoll and G. Walschap, Metric foliations and curvature, Progress in Mathematics, Birkhauser, (2009).
Daha fazla öğrenin
pleteness of the Riemannian metric would be sufficient to prove the existence of a generalized section. We also think that using a more delicate topological argument ... P. Molino described in detail a new class of SRF called orbit-like foliations. The main characteristic feature of these foliations is the fact that any point x
Daha fazla öğrenin
complete, regular Riemannian foliation with globally constant Molino sheaf is called aKilling foliation. The terminology, from [25], is motivated by the case of a homogeneousfoliationFH, given by the locally free, isometric action of a Lie groupHon a complete,connected Riemannian manifoldM. In this caseCFis the sheaf of germs of transverse Killing
Daha fazla öğrenin
WhatsApp24H Online Service Copyright ©2000- 2023 SHANGHAI ZENITH MINERALS CO.,LTD.
