Computing nullity and kernel vectors using NF-package: Counterexamples

Abstract

A computational technique for calculating nullity vectors and kernel vectors, using the new Finsler package, is introduced. As an application, three interesting counterexamples are given. The first counterexample shows that the two distributions ${\mathrm{Ker}}_R$ and ${\mathbb{N}}_R$ do not coincide. The second shows that the nullity distribution ${\mathbb{N}}_{P^{\circ }}$ is not completely integrable. The third shows that the nullity distribution ${\mathbb{N}}_{\mathfrak{R}}$ is not a sub-distribution of the nullity distribution ${\mathbb{N}}_{R^{\circ }}$.

10 pages, LaTeX file, More references added, some typos corrected

References in corpus (3)

• Reissner Nordstr$\ddot{o}$m solutions and Energy in teleparallel theory
• On the Relation between Mass and Charge: A Pure Geometric Approach
• New Finsler Package

Cited by in corpus (1)

• Solutions for the Landsberg unicorn problem in Finsler geometry