On a system of partial differential equations in Heisenberg space. (Sur un système d'équations aux d'érivées partielles dans l'espace de Heisenberg.)
On a Theorem of Chern and Terng on Affine Surfaces.
On a theorem of Fermi
Conformally flat metric is said to be Ricci superosculating with at the point if , , , where is the Ricci tensor. In this paper the following theorem is proved: If is a smooth curve of the Riemannian manifold (without self-crossing(, then there is a neighbourhood of and a conformally flat metric which is the Ricci superosculating with along the curve .
On acceleration and acceleration axes in dual Lorentzian space .
On affine geometric product objects
On affine-maximal ruled surfaces.
On algebraic-geometrical parametrization of the constant mean curvature tori
On applications of the Yano–Ako operator
In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in can be extended to the tensor bundle on the pure cross-section....
On associative developable surfaces
On asymptotic motions of robot-manipulator in homogeneous space
In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group of motions. Some kinematic subspaces of the Lie algebra (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described.
On asymptotic properties of maximal tubes and bands in a neighborhood of an isolated singularity in Minkowski space.
On Barbier's theorem
On certain infinitesimal isometries of surfaces
On characterization of the sphere in by means of the parallelness of certain vector fields
On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds
Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple.
On conformal powers of the Dirac operator on spin manifolds
The well known conformal covariance of the Dirac operator acting on spinor fields does not extend to its powers in general. For odd powers of the Dirac operator we derive an algorithmic construction in terms of associated tractor bundles computing correction terms in order to achieve conformal covariance. These operators turn out to be formally (anti-) self-adjoint. Working out this algorithm we recover explicit formula for the conformal third and present a conformal fifth power of the Dirac operator....
On conformally flat hypersurfaces and Guichard's nets.
On Conformally flat hypersurfaces, Curved flats and cyclic systems.
On conformally recurrent Ricci-recurrent manifolds
On Convex Hypersurfaces in a Space Form.