54 citations · 63 across the 10 of their papers we have counts for
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Five-Dimensional Tangent Vectors in Space-Time: VI. Bivector Derivative and Its Application
Alexander Krasulin
This is the sixth, concluding part of a series of papers the first five of which have been submitted to the present archive in mid 1998 and published as INR preprints in 1999. The…
Five-Dimensional Tangent Vectors in Space-Time: V. Generalization of Covariant Derivative
Alexander Krasulin
In this part of the series I discuss the five-vector generalizations of affine connection and gauge fields. I also give definition to the exterior derivative of nonscalar-valued fi…
Five-Dimensional Tangent Vectors in Space-Time: IV. Generalization of Exterior Calculus
Alexander Krasulin
This part of the series is devoted to the generalization of exterior differential calculus. I give definition to the integral of a five-vector form over a limited space-time volume…
Five-Dimensional Tangent Vectors in Space-Time: III. Some Applications
Alexander Krasulin
In this part of the series I show how five-tensors can be used for describing in a coordinate-independent way finite and infinitesimal Poincare transformations in flat space-time.…
Five-Dimensional Tangent Vectors in Space-Time: II. Differential-Geometric Approach
Alexander Krasulin
In this part of the series five-dimensional tangent vectors are introduced first as equivalence classes of parametrized curves and then as differential-algebraic operators that act…
Five-Dimensional Tangent Vectors in Space-Time: I. Introduction and Formal Theory
Alexander Krasulin
In this series of papers I examine a special kind of geometric objects that can be defined in space-time --- five-dimensional tangent vectors. Similar objects exist in any other di…