Locally Euclidean metrics on R3
Abstract
For all 0<t ≤ 1, we define a locally Euclidean metric t on R3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean metric dE. This research is motivated by expanding universe.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.