On the existence of f-recurrent (LCS)n-manifolds.
On the extensor structure of a formulation given by W. Ślebodziński
On the first eigenvalue of spacelike hypersurfaces in Lorentzian space
In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form. This estimate is sharp for totally umbilical hyperbolic spaces in Lorentzian space. We also get a sufficient condition for spacelike hypersurface to have zero first eigenvalue.
On the Focal Locus of a Submanifold in a Riemannian Manifold of Constant Sectional Curvature
On the functional independence of scalar invariants of curvature for dimensions n=2,3,4
On the Gauss-Manin Connection of an Isolated Hypersurface Singularity.
On the Generalized Gauss Lemma in Lorentzian Manifolds
On the generalized Lagrange spaces associated to the remarkable Lagrangians.
On the geodesic projection of connections
On the geodesics of tubular surfaces in Minkowski 3-space.
On the geometric meaning of the classical equation of Gauss.
On the geometric structure of the set of solutions of Einstein equations [Book]
On the geometry of a partial product structure
On the Geometry of Affine Immersions.
On the geometry of some para-hypercomplex Lie groups
In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional curvature have been given explicitly. We also show these spaces have constant negative scalar curvatures. Then by using left invariant Riemannian metrics introduced in the first part, we construct some left invariant Randers metrics of Berwald type. The explicit formulas for computing flag curvature have been obtained in...
On the geometry of two-step nilpotent groups with left invariant Finsler metrics.
On the infinitesimal geometric objects of submanifolds
On the integrability of orthogonal distributions in Poisson manifolds.
On the local moduli space of locally homogeneous affine connections in plane domains
Classification of locally homogeneous affine connections in two dimensions is a nontrivial problem. (See [5] and [7] for two different versions of the solution.) Using a basic formula by B. Opozda, [7], we prove that all locally homogeneous torsion-less affine connections defined in open domains of a 2-dimensional manifold depend essentially on at most 4 parameters (see Theorem 2.4).
On the local structure of a generic central set