Geometry

1912 Submissions

[4] viXra:1912.0357 [pdf] submitted on 2019-12-19 05:39:21

Uniqueness Theorem of the Curvature Tensor

Authors: Wenceslao Segura González
Comments: 8 Pages.

This paper develops the uniqueness theorem of the curvature tensor, which states that the Riemann-Christoffel tensor (and its linear combinations) is the only tensor that depends on the connection and is linear with respect to the second derivatives of the metric tensor. From this result, Cartan's theorem is obtained, according to which Einstein's tensor is the only second-order tensor that depends on the metric tensor, on its first derivatives, is linear with respect to the second derivatives of the metric tensor and its covariant divergence is null, admitting that the coefficients of these second derivatives are tensors derived from the metric tensor.
Category: Geometry

[3] viXra:1912.0282 [pdf] submitted on 2019-12-15 05:51:16

Polygonal Defined by Basic Scheme with Angular Step (C) Through the Management of the (Pc) Step of the Circles (Cs).

Authors: Dante Servi
Comments: 14 Pages.

Analysis of the polygonal type resulting from the types with step (Pc) of the circles (Cs) manageable, foreseen in the list of types with angular step (C). The list is in sheet 8/14 of my article "How and why to use my graphic method" revision v4. To find all my articles on this subject grouped in a single page, just click on author's name: Dante Servi.
Category: Geometry

[2] viXra:1912.0213 [pdf] submitted on 2019-12-11 13:28:41

The Riemann Metrics

Authors: Antoine Balan
Comments: 1 page, written in english

We define the Riemann metrics for riemannian manifolds.
Category: Geometry

[1] viXra:1912.0071 [pdf] submitted on 2019-12-04 08:56:45

The Riemann Flow (II)

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

The Riemann flow is defined with help of the Riemann curvature. The Einstein-Riemann metrics are also defined.
Category: Geometry