Complex curves and surgery
Complex hyperbolic manifolds and exotic smooth structures.
Complex singularities and the framed cobordism class of compact quotients of 3-dimensional Lie groups by discrete subgroups.
Complex structures on the Iwasawa manifold.
Complexifications of Transversely Holomorphic.
Compositions of equi-dimensional fold maps
According to Ando's theorem, the oriented bordism group of fold maps of n-manifolds into n-space is isomorphic to the stable n-stem. Among such fold maps we define two geometric operations corresponding to the composition and to the Toda bracket in the stable stem through Ando's isomorphism. By using these operations we explicitly construct several fold maps with convenient properties, including a fold map which represents the generator of the stable 6-stem.
Computational aspects of robust Holt-Winters smoothing based on -estimation
To obtain a robust version of exponential and Holt-Winters smoothing the idea of -estimation can be used. The difficulty is the formulation of an easy-to-use recursive formula for its computation. A first attempt was made by Cipra (Robust exponential smoothing, J. Forecast. 11 (1992), 57–69). The recursive formulation presented there, however, is unstable. In this paper, a new recursive computing scheme is proposed. A simulation study illustrates that the new recursions result in smaller forecast...
Concordance and Bordism of Line Fields.
Conformal curvature for the normal bundle of a conformal foliation
It is proved that the normal bundle of a distribution on a riemannian manifold admits a conformal curvature if and only if is a conformal foliation. Then is conformally flat if and only if vanishes. Also, the Pontrjagin classes of can be expressed in terms of .
Conformal geometry and spatially homogeneous cosmology
Conformally flat manifolds, Kleinian groups and scalar curvature.
Congruences of surfaces in
Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
Conjugation spaces.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Connections and 1-jet fiber bundles
Connections in regular Poisson manifolds over ℝ-Lie foliations
The subject of this paper is the notion of the connection in a regular Poisson manifold M, defined as a splitting of the Atiyah sequence of its Lie algebroid. In the case when the characteristic foliation F is an ℝ-Lie foliation, the fibre integral operator along the adjoint bundle is used to define the Euler class of the Poisson manifold M. When M is oriented 3-dimensional, the notion of the index of a local flat connection with singularities along a closed transversal is defined. If, additionally,...
Connections of order r
Connections on infinite dimensional manifolds with corners
Connexions compatibles avec certaines structures sur un fibré vectoriel banachique