Il problema di Plateau in domini illimitati
Image sets of folding surfaces.
Imbedding of a Complex Projective Space Defined by Monomials of Same Degree.
Immersed Hypersurfaces with Constant Weingarten Curvature.
Immersed spheres in symplectic 4-manifolds
We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.
Immersed surfaces with constant curvature near infinity
Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele.
Immersions in a hyperbolic manifold.
Immersions into spheres with parallel higher fundamental forms.
Immersions into the hyperbolic space invariant by reflections.
Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes : résultats de non existence et de rigidité
Dans cet article nous nous intéressons aux immersions isométriques minimales (resp. pluriharmoniques) définies sur une variété riemannienne munie d’une 2-forme parallèle non triviale à valeurs dans une variété riemannienne ou kählérienne de courbure isotrope négative (resp. positive). Les résultats que nous obtenons généralisent certains résultats bien connus de non existence et de rigidité concernant les immersions minimales et pluriharmoniques de variétés kählériennes dans les espaces formes réels...
Immersions minimales, première valeur propre du laplacien et volume conforme.
Immersions of Cohomogeneity One Riemannian Manifolds.
Immersions of Riemannian manifolds with a given normal bundle structure. II
Immersions tendues de surfaces dans E3.
Immersions with a parallel normal field.
Immersions with Parallel Second Fundamental Form.
Impossible Einstein-Weyl geometries
In the joint paper of the author with K. P. Tod [J. Reine Angew. Math. 491, 183-198 (1997; Zbl 0876.53029)] they showed all local solutions of the Einstein-Weyl equations in three dimensions, where the background metric is homogeneous with unimodular isometry group. In particular, they proved that there are no solutions with Nil or Sol as background metric. In this note, these two special cases are presented.
Improper affine spheres and δ-invariants
We introduce an inequality for graph hypersurfaces and prove a decomposition theorem in case equality holds.
Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces
We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.