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In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.
On the Validity of the Borel-Hirzebruch Formula for Topological Actions
Lie group actions characteristic classes cohomology classifiying spaces weights
2010/3/4
We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch f...
We construct an exact differential sequence which indicates certain relations between curvature, local flatness, torsion and simplicity of higher order connections. Our formulas are expressed explicit...
Timelike Ruled Surfaces in the Minkowski 3-Space-II
Timelike Ruled Surfaces Minkowski 3-Space-II
2010/3/4
This paper is devoted to a study of timelike ruled surfaces in three dimensional Minkowski space obtained by a spacelike straight line moving along a timelike curve. The central point, the curve of st...
In this paper, the concepts concerning the space curves of constant breadth were extended to E4 -space. The integral of third curvature of the curve was obtained as (bak) sds = 2k7p(k E Z) . In additi...
On the Stability Results for Third Order Differential-Operator Equations
Differential-Operator Equations Stability Global asymptotic stabilty
2010/3/5
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.
In this paper, we prove the rules of direct addition and subtraction for the finite decimal expansions of fractions which are periodic. It has been shown that these rules are valid for the fractions w...