Hypersurfaces of C2-like Finsler spaces.
Hypersurfaces of constant curvature in hyperbolic space II
This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.
Hypersurfaces of Einstein manifolds
Hypersurfaces of prescribed mean curvature enclosing a given body.
Hypersurfaces with almost complex structures in the real affine space
We study affine hypersurface immersions , where M is an almost complex n-dimensional manifold. The main purpose is to give a condition for (M,J) to be a special Kähler manifold with respect to the Levi-Civita connection of an affine fundamental form.
Hypersurfaces with constant curvature in
We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in with constant curvature bounding a planar closed (n-1)-submanifold.
Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.
Hypersurfaces with constant -th mean curvature in a Lorentzian space form
In this paper, we study -dimensional complete connected and oriented space-like hypersurfaces in an (n+1)-dimensional Lorentzian space form with non-zero constant -th mean curvature and two distinct principal curvatures and . We give some characterizations of Riemannian product and show that the Riemannian product is the only complete connected and oriented space-like hypersurface in with constant -th mean curvature and two distinct principal curvatures, if the multiplicities of...
Hypersurfaces with Constant Mean Curvature and Prescribed Area.
Hypersurfaces with Constant Scalar Curvature.
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.
Hypersurfaces with parallel affine curvature tensor R*
In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space . In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.
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.
Ideal tubular hypersurfaces in real space forms
In this article we give a classification of tubular hypersurfaces in real space forms which are -ideal.
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.