Geometry

1910 Submissions

[6] viXra:1910.0620 [pdf] replaced on 2019-11-30 12:21:43

How and Why to Use my Graphic Method.

Authors: Dante Servi
Comments: 28 Pages.

Update of sheet 8/14. Further reflections related to my article published on viXra.org in the geometry group at number 1910.0086 (revision v3) with the following title: Poligonal spirals with manageable inclination - complete version of the discussion. To find all my articles on this subject grouped in a single page, just click on author's name: Dante Servi.
Category: Geometry

[5] viXra:1910.0602 [pdf] submitted on 2019-10-29 06:56:33

Galilean Transformations of Tenzors Галилеевы преобразования тензоров

Authors: Valery Timin
Comments: timinva@yandex.ru, 14 pages in Russian

This paper deals with the orthonormal transformation of the vectors and tensors of the 4-dimensional Galilean space. Such transformations are transformations of rotation and transition to a moving coordinate system. Formulas and matrices of these transformations are given. The transition from one coordinate system to another, moving relative to the first, did long before the theory of relativity. The natural space for "transitions from one coordinate system to another" is the Galilean space. It is the space of classical mechanics. This paper focuses on the 4-dimensional interpretation of such transformations. В данной работе рассмотрены вопросы ортонормированного преобразования векторов и тензоров 4-мерного галилеева пространства. Такими преобразованиями являются преобразования поворота и перехода в движущуюся систему координат. Даны формулы и матрицы этих преобразований. Переход от одной системы координат к другой, движущейся относительно первой, делали задолго до появления теории относительности. Естественным пространством для "переходов от одной системы координат к другой" является галилеево пространство. Именно оно является пространством классической механики. В данной работе сделан упор на 4-мерной интерпретации таких преобразований.
Category: Geometry

[4] viXra:1910.0185 [pdf] replaced on 2019-10-15 07:04:59

A Moduli Space in Riemannian Geometry

Authors: Antoine Balan
Comments: 2 pages, written in french

In the realm of the riemannian geometry, a moduli space is defined.
Category: Geometry

[3] viXra:1910.0141 [pdf] submitted on 2019-10-09 09:09:54

A Moduli Space in Spinorial Geometry

Authors: Antoine Balan
Comments: 3 pages, written in french

A moduli space is defined over a spin manifold by mean of the Dirac operator, finite dimensionality and compactness are discussed.
Category: Geometry

[2] viXra:1910.0103 [pdf] submitted on 2019-10-07 08:49:06

The Yang-Mills Flow for Connections

Authors: Antoine Balan
Comments: 2 pages, written

For a family of connections in a vector fiber bundle over a riemannian manifold, a Yang-Mills flow is defined with help of the riemannian curvature of the connections.
Category: Geometry

[1] viXra:1910.0086 [pdf] replaced on 2019-10-15 15:44:38

Polygonal Spirals with Manageable Inclination Full Version of the Discussion.

Authors: Dante Servi
Comments: 29 Pages.

Description of my graphic method that allows to create polygonal spirals by checking the parameters that define its path. The article begins with the description of the graphic method and an algorithm that allows you to automatically create these polygonals. In the final part of the article I describe how to create a polygonal with all the vertices in common with a specific logarithmic or Archimede spiral.
Category: Geometry