We suggest a technique for construction of profiles of incoherent pulsar emission using instantaneous angular distribution indicatrix of radiation from relativistic source moving in the neutron star magnetosphere. In the general case the indicatrix depends on the kinematic parameters of radiation source such as velocity and acceleration. The method is illustrated by calculation of the profiles ...

In this study, direction curves of spherical indicatrix (primarily tangent indicatrix) for a curve in three dimensional Euclidean space were investigated. Mentioned was given with new alternative frame which is {N,C,W} frame. It aspect that researching relations between and the main via The harmonic curvatures geodesic image principal normal obtained. general helix, slant helix C-slant characte...

A metric set is entire if the addition of any point to the set increases the diameter. A convex body has constant width if all pairs of parallel supporting planes are the same distance apart. These concepts are known to be equivalent in euclidean space. The present paper shows that they are also equivalent in a minkowski space. A proof for this equivalence for the minkowski plane was given by M...

A new hypersurface of Tzitzeica type is obtained in all three forms: parametric, implicit and explicit. To a two-parameters family of cubic Tzitzeica surfaces we associate a cubic Finsler function for which the regularity is expressed as the non-flatness of the Tzitzeica indicatrix. A natural relationship is obtained between cubic Tzitzeica surfaces and three-dimensional Berwald spaces with cub...

In this paper, we construct a framed f -structure on the slit tangent space of a Rizza manifold. This induces on the indicatrix bundle an almost contact metric. We find the conditions under which this structure reduces to a contact or to a Sasakian structure. Finally we study these structures on Kählerian Finsler manifolds. M.S.C. 2010: 53B40, 53C60, 32Q60, 53C15.

We produce skew loops—loops that lack any pair of parallel tangent lines—homotopic to any loop in a flat torus, or any other quotient of Rn by a discrete subgroup. The interesting case here is n = 3 . More subtly for any n , we then characterize the homotopy classes that will contain a skew loop having a specified loop τ ⊂ S as tangent indicatrix.

BACKGROUND This study introduces two novel outcomes that could be used to identify people with knee osteoarthritis from healthy controls. These outcomes examine the lengths of paths on a sphere derived from knee angle and knee position during gait. METHODS Participants with moderate knee osteoarthritis (n=47) and no knee pathology (n=51) walked overground. The time-varying orientation matrice...

At any point of a surface in the four-dimensional Euclidean space we consider the geometric configuration consisting of two figures: the tangent indicatrix, which is a conic in the tangent plane, and the normal curvature ellipse. We show that the basic geometric classes of surfaces in the four-dimensional Euclidean space, determined by conditions on their invariants, can be interpreted in terms...

A closed κ0-curve is a closed regular curve of class C r (r ≥ 2) in the Euclidean 3-space having constant curvature κ0 > 0. We present various examples of nonplanar closed κ0-curves of class C , which are composed of n arcs of circular helices. The construction of c starts from the spherical image (= tangent indicatrix) c of c, which then has to be a closed regular curve of class C on the unit ...