A Diagram for Bianchi A-Types
E. L. Schucking, E. J. Surowitz, J. Zhao

TL;DR
This paper introduces a diagrammatic representation for Bianchi A-type spaces, illustrating their relationships and transformations, with a focus on Ricci coefficients and tensors linked via Cremona transformations.
Contribution
It provides a new diagrammatic tool to visualize the relations among Bianchi A-type spaces and their Ricci properties, enhancing understanding of their geometric structure.
Findings
Diagram effectively illustrates Bianchi A-type relations
Cremona transformation links Ricci coefficients and tensors
Clarifies geometric transformations among Bianchi spaces
Abstract
A diagram for Bianchi spaces with vanishing vector of structure constants (type A in the Ellis-MacCallum classification) illustrates the relations among their different types under similarity transformations. The Ricci coefficients and the Ricci tensor are related by a Cremona transformation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
