arXiv (All)
open access
The crossmetric tensor and the geometrical meaning of the imaginary numbers
The product of two Cartesian quaternions can be written as a quadratic form based on a 4x4 matrix made of the imaginary numbers i,j,k introduced by Hamilton. We generalized this matrix to non-Cartesian bases, and showed that the matrix is made of the metric and the cross tensors. We called it crossm
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- A 2X2 Matrix Approach to Hopf Fibrations:: Quaternionic Reduction of Octonionic Bi-unitary Matrices and an RLLR/LRRL Bracketing Rule#1402363
- On the Convexity of the Upper Bild#1343287
- Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds#1035927
- Relacions lineals i Forma canònica de Kronecker#366887
- Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification#985791
Record · ID 1458416
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive