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Displaying 61 – 80 of 489

The Conley index over a space.

Thomas Bartsch (1992)

Mathematische Zeitschrift

The constructions of general connections on second jet prolongation

Mariusz Plaszczyk (2014)

Annales UMCS, Mathematica

We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M

The contact system for $A$ -jet manifolds

R. J. Alonso-Blanco, J. Muñoz-Díaz (2004)

Archivum Mathematicum

Jets of a manifold $M$ can be described as ideals of $𝒞^{\infty} (M)$ . This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered $A$ -jet spaces, where $A$ is a Weil algebra. We will need to introduce the concept of derived algebra.

The contact system on the $(m, ℓ)$ -jet spaces

J. Muñoz, F. J. Muriel, Josemar Rodríguez (2001)

Archivum Mathematicum

This paper is a continuation of [MMR:98], where we give a construction of the canonical Pfaff system $Ω (M_{m}^{ℓ})$ on the space of $(m, ℓ)$ -velocities of a smooth manifold $M$ . Here we show that the characteristic system of $Ω (M_{m}^{ℓ})$ agrees with the Lie algebra of $Aut (ℝ_{m}^{ℓ})$ , the structure group of the principal fibre bundle ${\overset{ˇ}{M}}_{m}^{ℓ} ⟶ J_{m}^{ℓ} (M)$ , hence it is projectable to an irreducible contact system on the space of $(m, ℓ)$ -jets ( $= ℓ$ -th order contact elements of dimension $m$ ) of $M$ . Furthermore, we translate to the language of Weil bundles the structure form...

The CR Yamabe conjecture the case $n = 1$

Najoua Gamara (2001)

Journal of the European Mathematical Society

Let $(M, θ)$ be a compact CR manifold of dimension $2 n + 1$ with a contact form $θ$ , and $L = (2 + 2 / n) Δ_{b} + R$ its associated CR conformal laplacien. The CR Yamabe conjecture states that there is a contact form $\tilde{θ}$ on $M$ conformal to $θ$ which has a constant Webster curvature. This problem is equivalent to the existence of a function $u$ such that $L u = u^{1 + 2 / n}$ , $u > 0$ on $M$ . D. Jerison and J. M. Lee solved the CR Yamabe problem in the case where $n \geq 2$ and $(M, θ)$ is not locally CR equivalent to the sphere $S^{2 n + 1}$ of $𝐂^{n}$ . In a join work with R. Yacoub, the CR Yamabe problem...

The Critical Points Theory for the Closed Geodesics Problem.

Francesco Mercuri (1977)

Mathematische Zeitschrift

The Cusp Catastrophe of Thom in the Bifurcation of Minimal Surfaces.

A.J. Tromba, M.J. Beeson (1984)

Manuscripta mathematica

The de Rham theorem for the noncommutative complex of Cenkl and Porter.

Mejias, Luis Fernando (2002)

International Journal of Mathematics and Mathematical Sciences

The deformation theory of anti-self-dual conformal structures.

D. Kotschick, A.D. King (1992)

Mathematische Annalen

The deformation theory of representations of fundamental groups of compact Kähler manifolds

William M. Goldman, John J. Millson (1988)

Publications Mathématiques de l'IHÉS

The Demyanov metric and some other metrics in the family of convex sets

Tadeusz Rzeżuchowski (2012)

Open Mathematics

We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

The density problem for infinite dimensional group actions

S. Klimek, W. Kondracki, W. Oledzki, P. Sadowski (1988)

Compositio Mathematica

The determinant of the Laplacian on the n-sphere

H. Kumagai (1999)

Acta Arithmetica

The diameter of the symplectomorphism group is infinite.

Tudor Ratiu, Yakov Eliashberg (1991)

Inventiones mathematicae

The diffeomorphism group of a Lie foliation

Gilbert Hector, Enrique Macías-Virgós, Antonio Sotelo-Armesto (2011)

Annales de l’institut Fourier

We describe explicitly the group of transverse diffeomorphisms of several types of minimal linear foliations on the torus $T^{n}$ , $n \geq 2$ . We show in particular that non-quadratic foliations are rigid, in the sense that their only transverse diffeomorphisms are $\pm Id$ and translations. The description derives from a general formula valid for the group of transverse diffeomorphisms of any minimal Lie foliation on a compact manifold. Our results generalize those of P. Donato and P. Iglesias for $T^{2}$ , P. Iglesias and...

Currently displaying 61 – 80 of 489