Hyperbolic angle function in the Lorentzian plane
Hyperbolic manifolds according to Thurston and Jørgensen
Hyperbolic manifolds and special values of Dedekind zeta-functions.
Hyperbolic volume and mod p homology.
Hyperbolicity of negatively curved Kähler manifolds.
Hyperholomorphic connections on coherent sheaves and stability
Let M be a hyperkähler manifold, and F a reflexive sheaf on M. Assume that F (away from its singularities) admits a connection ▿ with a curvature Θ which is invariant under the standard SU(2)-action on 2-forms. If Θ is square-integrable, such sheaf is called hyperholomorphic. Hyperholomorphic sheaves were studied at great length in [21]. Such sheaves are stable and their singular sets are hyperkähler subvarieties in M. In the present paper, we study sheaves admitting a connection with SU(2)-invariant...
Hyperkaehler metrics from projective superspace
This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics.
Hyperkähler manifolds
Hyperpolar actions and k-flat homogeneous spaces.
Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Hypersurfaces in a conformally flat space with curvature collineation.
Hypersurfaces in an almost paracontact manifold
Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations
We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
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 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 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.