The local structure of essentially conformally symmetric manifolds with constant fundamental function II. The hyperbolic case
The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case
The local structure of essentially conformally symmetric manifolds with constant fundamental function. III. The parabolic case
The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)
The mean curvature of the second fundamental form of a hypersurface.
The metrics of a twodimensional space with geodesics represented by a linear equation
The nonexistence of rank 4 IP tensors in signature .
The osculating hyperquadrics of the three-component distribution in affine space
The Plane-Time in Which Paths of Inertional Motions Are Conics
The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions
Our aim is to study the principal bundles determined by the algebra of quaternions in the projective model. The projectivization of the conformal model of the Hopf fibration is considered as example.
The reconstruction theorem
The Riemann tensor for nonholonomic manifolds.
The Riemannian curvature tensor and differentiable spaces
The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.
The -curvature of homogeneous -metrics.
The Segre imbedding and its converse
The semiring of immersions of manifolds.
The spectral geometry of the Weyl conformal tensor
We study when the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit spacelike or timelike tangent vectors. This leads to questions in the conformal geometry of pseudo-Riemannian manifolds which generalize the Osserman conjecture to this setting. We also study similar questions related to the skew-symmetric curvature operator defined by the Weyl conformal curvature tensor.
The spray and antispray theory in the subspaces of Miron's .
The spread of the shape operator as conformal invariant.