A Conjecture of Besse on Harmonic Manifolds.
Variétés pseudo-ombilicales de codimension 2 et de courbure moyenne constante dans un espace elliptique à dimensions et généralisations
Rotations and Hermitian Symmetric Spaces.
Isometric Reflections with Respect to Submanifolds and the Ricci Operator of Geodesic Spheres.
Ball-Homogeneous and Disk-Homogeneous Riemannian Manifolds.
An example of a 6-dimensional flat almost Hermitian manifold
-symmetric spaces and weak symmetry
Proviamo che tutti gli spazi semplicemente connessi -simmetrici sono debolmente simmetrici e quindi commutativi.
Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale
Studio di varietà di codimensione due immerse in uno spazio di Minkowski dotato di una connessione principale.
Unit tangent sphere bundles with constant scalar curvature
As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.
The volume of geodesic disks in a Riemannian manifold
Sur une classe de variétés pseudo-isotropes
Almost Hermitian manifolds with constant holomorphic sectional curvature
Harmonic maps and -regular manifolds
Reflections with respect to submanifolds in contact geometry
We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.
Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale
Harmonie reflections
We study local reflections with respect to a curve in a Riemannian manifold and prove that is a geodesic if is a harmonic map. Moreover, we prove that the Riemannian manifold has constant curvature if and only if is harmonic for all geodesies .
Harmonie reflections
We study local reflections with respect to a curve in a Riemannian manifold and prove that is a geodesic if is a harmonic map. Moreover, we prove that the Riemannian manifold has constant curvature if and only if is harmonic for all geodesies .
Sur des variétés lorentziennes pseudo-isotropiquement immergées dans un espace de Minkowski
In questa Nota si stabiliscono nuovi risultati concernenti le varietà V pseudo-isotropicamente immerse in uno spazio di Minkowski generalizzato mediante l'introduzione di una certa struttura sulla V.
Four-dimensional curvature homogeneous spaces
We prove that a four-dimensional, connected, simply connected and complete Riemannian manifold which is curvature homogeneous up to order two is a homogeneous Riemannian space.
Locally symmetric immersions
We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also...
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