118259949
Existence of linear connections with respect to which given tensor fields are parallel or recurrent
123368905
Linear connections and quasi-connections on a differentiable manifold
176838628
Erratum to: “On an explicit characterization of spherical curves”
54037185
LINEAR CONNEXIONS WITH ZERO TORSION AND RECURRENT CURVATURE
Introduction. Let M be a connected n-dimensional C4-manifold. If S is any tensor (field) on M, then (i) S(u) denotes the value of S at the point uGM; (ii) S =0 means that S is everywhere zero, i.e. S(u) =0 for every u CM; (iii) S $0 means that S is not everywhere zero, i.e. S(u) 0 for some u CM; (iv) S$O means that S is nowhere zero, i.e. S(u) =0 for no uCM. Throughout this paper, a tensor of type (1, 0) will be called a vector, and a tensor of type (0, 1) a covector. Summation over a repeated index, Latin or Greek, is always implied. Let y be a linear connexion on M. If rFJh (1_ a, h, i, j, * , ?n) are the components of y in the local coordinate system (U, uh) in M, then the components in (U, uh) of the torsion tensor T and the curvature tensor R on M are respectively
121526159
ON THE LENGTHS AND THE NUMBERS OF CONGRUENCE CLASSES OF CLOSED GEODESICS IN GRASSMANN MANIFOLDS
120829815
Conjugate loci in Grassmann manifolds
A method of neatly retaining cords, such as electrical cords, in a box, such as a surge protector, utilizes a brace member and two inverted-L-shaped members. The brace member can be mounted on the bottom of the box, so that the two inverted-L-shaped members extend upwards from the bottom of the box. A cord can then be neatly wrapped around the two inverted-L-shaped members, with the horizontal prong of each inverted-L-shaped member holding the cord in place so that it does not uncoil. One of the inverted-L-shaped members is movable along the brace member, to properly accommodate various lengths of cord. Multiple cord retainers may be mounted in a surge protector or other power cord box, each one suitable for neatly retaining a separate electrical cord.
119676639
Reflexivity of Locally Convex Riesz Spaces