The spectrum of the Laplace operator for a spherical space form
Si determina lo spettro di un operatore di Laplace di una «spherical space form» e si studia l’influenza di tale spettro su .
The spectrum of the Laplace operator on conformally flat manifolds
The Stable Topological-hyperbolic Space Form Problem for Complete Manifolds of Finite Volume.
The Structure of Stationary One Dimensional Varifolds with Positive Density.
The structure of the cut locus in dimension less than or equal to six
The third Betti number of a positively pinched riemannian six manifold
We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
The Trapping Property of Totally Geodesic Hyperplanes in Hadamard Spaces.
The values of sectional curvature in indefinite metrics.
The volume conjecture and four-dimensional hypersurfaces
The volumes of small geodesic balls for a metric connection
Théorème de la sphère
Théorèmes de Finitude en géométrie riemannienne et structures métriques
Théorie spectrale de quelques variétés à bouts
Three-dimensional conformally flat pseudo-symmetric spaces of constant type
An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature.
Three-dimensional curvature homogeneous hypersurfaces
This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.
Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
In this paper we study the topological and metric rigidity of hypersurfaces in , the -dimensional hyperbolic space of sectional curvature . We find conditions to ensure a complete connected oriented hypersurface in to be diffeomorphic to a Euclidean sphere. We also give sufficient conditions for a complete connected oriented closed hypersurface with constant norm of the second fundamental form to be totally umbilic.
Topological tools for the prescribed scalar curvature problem on S n
In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].
Topology and geometry of complete submanifolds in euclidean spaces
This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
Torsion von Minimalflächen.