In the first part of this paper, some theorems are given for a Riemannian manifold with semi-symmetric metric connection. In the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.

We present a general theory to obtain linear network codes utilizing forms and obtain explicit families of equidimensional vector spaces, in which any pair of distinct vector spaces intersect in the same small dimension. The theory is inspired by the methods of the author utilizing the osculating spaces of Veronese varieties. Linear network coding transmits information in terms of a basis of a ...

It is argued that the vector space measures used to measure closeness of prices and labour values are invalid because of the observed metric of commodity space. An alternative vector space within which such measures do apply is proposed. It is shown that commodity exchange can be modeled by the application of unitary operators to this space. In the recent literature relating to measuring the cl...

In the presentwork, usingMinkowski functionals in topological vector spaces, we establish the equivalence between some fixed point results in metric and in (topological vector space) cone metric spaces. Thus, a lot of results in the cone metric setting can be directly obtained from their metric counterparts. In particular, a common fixed point theorem for f -quasicontractions is obtained. Our a...

In this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. Weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

The algorithm for finding the optimal consistent approximation of an inconsistent pairwise comaprisons matrix is based on a logarithmic transformation of a pairwise comparisons matrix into a vector space with the Euclidean metric. Orthogonal basis is introduced in the vector space. The orthogonal projection of the transformed matrix onto the space formed by the images of consistent matrices is ...

Pairs of metrics in a three-dimensional linear vector space are considered, one of which is a Minkowski type metric with the signature (+, −, −). Such metric pairs are classified and canonical presentations for them in each class are suggested.

The solution to (3) through initial point φ0 is given by φτ = eφ0. Here e−iÂτ denotes the one-parameter group of unitary transformations generated by −iÂ, as described by Stone’s theorem. It follows that the integral curve through φ0 ∈ S2 will stay on the sphere. One concludes that, modulo the domain issues, the restriction of the vector field Aφ to the sphere S2 is a vector field on the sphere...