Hypersurfaces with constant scalar curvature in a hyperbolic space form.
Hypersurfaces with constant scalar curvature in space forms.
Hypersurfaces with constant scalar or mean curvature in a unit sphere.
Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
Given a domain of and a -dimensional non-degenerate minimal submanifold of with , we prove the existence of a family of embedded constant mean curvature hypersurfaces in which as their mean curvature tends to infinity concentrate along and intersecting perpendicularly along their boundaries.
Hypoelliptic and Gevrey hypoelliptic invariant differential operators on certain symmetric spaces
Ideal CR submanifolds in non-flat complex space forms
An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
Ideal slant submanifolds in complex space forms.
Il gruppo delle isometrie di un cono aperto, convesso, regolare, omogeneo, irriducibile ed autoaggiunto
The group of isometries of a convex irreducible homogeneous self adjoint cone is investigated. It is proved that all elements of the connected component of the identity of the group of all isometries are linear automorphisms, and that every isometry can be extended as an holomorphic automorphism of the associated tube domain.
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.
Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele.
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.