Pseudo-immersions superminimales d'une surface de Riemann dans une variété riemannienne de dimension 4
Pseudoinversion of degenerate metrics.
Pseudokähler forms on complex Lie groups.
Pseudo-Kählerina homogeneous spaces admitting a reductive transitive group of automorphisms.
Pseudo-laplaciens. I
On construit, sur une variété riemannienne de dimension ou , les extensions autoadjointes de la restriction du laplacien aux fonctions nulles au voisinage d’un point de . On calcule explicitement les valeurs propres de .
Pseudo-laplaciens II
Dans cet article, nous étudions une famille d’opérateurs auto-adjoints dérivés du laplacien sur une surface de Riemann d’aire finie et ayant au voisinage de l’infini la structure d’un cylindre muni d’une métrique à courbure constante . Après avoir étudié la théorie spectrale de tels opérateurs, nous donnons, comme application, un théorème prévoyant l’absence générique de valeurs propres immergées dans le spectre continu du laplacien de ces surfaces. Nous montrons enfin comment ceci permet de...
Pseudo-parallel submanifolds of a space form.
Pseudo-real principal Higgs bundles on compact Kähler manifolds
Let be a compact connected Kähler manifold equipped with an anti-holomorphic involution which is compatible with the Kähler structure. Let be a connected complex reductive affine algebraic group equipped with a real form . We define pseudo-real principal -bundles on . These are generalizations of real algebraic principal -bundles over a real algebraic variety. Next we define stable, semistable and polystable pseudo-real principal -bundles. Their relationships with the usual stable, semistable...
Pseudo-Riemannian manifolds endowed with an almost para f-structure.
Pseudo-Riemannian Osserman manifolds.
Pseudo-Riemannian structures with the same connection.
Pseudo-Riemannian weakly symmetric manifolds of low dimension
We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions and , based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive -dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a -dimensional reductive -fold symmetric pseudo-Riemannian manifold must be globally symmetric.
Pseudo-Sasakian manifolds endowed with a contact conformal connection.
Pseudosymmetric and Weyl-pseudosymmetric -contact metric manifolds
In this paper we classify pseudosymmetric and Ricci-pseudosymmetric -contact metric manifolds in the sense of Deszcz. Next we characterize Weyl-pseudosymmetric -contact metric manifolds.
Pseudo-symmetric contact 3-manifolds III
A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.
Pseudo-umbilical spacelike submanifolds in the indefinite space form.
Puits multiples (d'après des travaux avec B. Helffer)