6 papers
Introduction to Differential Geometry in the Three-Dimensional Field of Complex Vectors
Branko Sarić
Building on a commutative geometric algebra developed for 2D and 3D fields of complex vectors, this paper develops a vector framework for the differential geometry of compact Hermi…
On an integral as an interval function
Branko Saric
Based on the total integrability we first define an integral of a real valued function f as an interval function associated to its antiderivative F. By introducing the concept of t…
One common solution to the singularity and perihelion problems
Branko Saric
Based on the kinetic energy theorem, as one of the fundamental theorems from the classical mechanics, throughout the first part of the article an attempt has been made to derive th…
Expansion of real valued meromorphic functions into Fourier trigonometric series
Branko Saric
In the main part of the paper, on the basis of contour integration of complex meromorphic functions whose singularities lie onto an integration contour, in the first step, a concep…
A functional expression for the curvature of hyper-dimensional Riemannian spaces
Branko Saric
Analogously to the concept of a curvature of curve and surface, in the differential geometry, in the main part of this paper the concept of the curvature of the hyper-dimensional v…
A residue of complex function in three-dimensional vector space
Branko Saric
In the introduction part of this paper, first of all, the concept of absolute integral sum of complex function is defined, as more general one with respect to the concept of integr…