Geometry

1911 Submissions

[7] viXra:1911.0510 [pdf] submitted on 2019-11-30 05:12:35

The Dirac-Ricci Operator

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

We define a Dirac type operator called the Dirac-Ricci operator with help of the Ricci curvature.
Category: Geometry

[6] viXra:1911.0465 [pdf] submitted on 2019-11-27 13:17:38

Polygonal with Segments of Constant Length, Defined by Basic Diagram with Angular Step (C).

Authors: Dante Servi
Comments: 8 Pages.

Further analysis of a polygonal already described in my previous article "How and why to use my graphic method". In these pages I have published some articles on the same subject. To access the page where they are all grouped in the different revisions (v1), (v2), (v ...) do not click on (Pdf) but on my name (Dante Servi).
Category: Geometry

[5] viXra:1911.0419 [pdf] submitted on 2019-11-24 14:13:39

Via Geometric (Clifford) Algebra: Intersection of a Plane with a Sphere

Authors: James A. Smith
Comments: 7 Pages.

As a high-school-level example of solving a problem via Geometric (Clifford) Algebra (GA), we show how to derive equations for the circle formed by the intersection of a plane with a sphere. Among the tasks that we will demonstrate are how to (1) express a plane via GA, (2) calculate the "reject" of a vector from a plane, and (3) express a circle as the rotation of a vector about a point.
Category: Geometry

[4] viXra:1911.0395 [pdf] submitted on 2019-11-23 04:47:49

The Coupled Einstein Equations (II)

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

The coupled Einstein equations are defined for a manifold with two riemannian metrics. We make use of the mixed Riemann curvature tensor.
Category: Geometry

[3] viXra:1911.0387 [pdf] submitted on 2019-11-22 09:23:45

The Coupled Einstein Equations

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

The coupled Einstein equations are defined for a manifold with two riemannian metrics.
Category: Geometry

[2] viXra:1911.0368 [pdf] submitted on 2019-11-21 11:16:52

To Play with the Polygonals.

Authors: Dante Servi
Comments: 15 Pages.

This article is dedicated to those who want to play with polygons using my graphic method published on viXra.org in this group at numbers 1910.0086 (v3) and 1910.0620 (v3). I just updated this last one and I think it might be interesting. To make sure you download the latest revision don't click on (pdf) but on (viXra: nnnn.nnnn), opens the page where you find all the revisions, (v1), (v2), (v3) (v...).
Category: Geometry

[1] viXra:1911.0268 [pdf] submitted on 2019-11-15 09:20:11

The Riemann Flow

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

The Riemann flow is defined with help of the riemannian curvature.
Category: Geometry