On Weingarten surfaces
On Weyl pseudosymmetric hypersurfaces
On -homogeneous Riemannian manifolds. II.
On -curvature tensor of C3-like conformal Finsler space.
On -conformally flat contact metric manifolds.
On -recurrent generalized -contact metric manifolds.
On -recurrent Sasakian manifolds.
Only one of generalized gradients can be elliptic
Decomposing the space of k-tensors on a manifold M into the components invariant and irreducible under the action of GL(n) (or O(n) when M carries a Riemannian structure) one can define generalized gradients as differential operators obtained from a linear connection ∇ on M by restriction and projection to such components. We study the ellipticity of gradients defined in this way.
Open book structures and unicity of minimal submanifolds
We prove unicity of certain minimal submanifolds, for example Clifford annuli in . The idea is to consider the placement of the submanifold with respect to the (singular) foliation of by the Clifford annuli whose boundary are two fixed great circles a distance apart.
Opérateur de Schrödinger pour un champ magnétique constant sur l'espace euclidien à deux dimensions
Opérateurs géométriques et géométrie conforme
Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications
Operators on differential forms for Lie transformation groups.
Operators on eigenmaps between spheres
Optics in Croke-Kleiner Spaces
We explore the interior geometry of the CAT(0) spaces , constructed by Croke and Kleiner [Topology 39 (2000)]. In particular, we describe a diffraction effect experienced by the family of geodesic rays that emanate from a basepoint and pass through a certain singular point called a triple point, and we describe the shadow this family casts on the boundary. This diffraction effect is codified in the Transformation Rules stated in Section 3 of this paper. The Transformation Rules have various applications....
Optimal destabilizing vectors in some Gauge theoretical moduli problems
We prove that the well-known Harder-Narsimhan filtration theory for bundles over a complex curve and the theory of optimal destabilizing -parameter subgroups are the same thing when considered in the gauge theoretical framework.Indeed, the classical concepts of the GIT theory are still effective in this context and the Harder-Narasimhan filtration can be viewed as a limit object for the action of the gauge group, in the direction of an optimal destabilizing vector. This vector appears as an extremal...
Optimal inequalities for embedded space-times
Optimization problems on complete Riemannian manifolds
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).
In [6], orbifold G-bundles on a certain class of elliptic fibrations over a smooth complex projective curve X were related to parabolic G-bundles over X. In this continuation of [6] we define and investigate holomorphic connections on an orbifold G-bundle over an elliptic fibration.
Orbihedra of nonpositive curvature