Bibliographic record
Abstract
We generalize the ancient solutions of the Ricci flow on certain principal SO(3) bundles over compact quaternionic Kähler manifolds constructed by Bakas, Kong, and Ni to certain RP 3 fibre bundles over a product of two compact quaternionic Kähler manifolds.The ancient solutions are of Type I, κ-noncollapsed, and have positive Ricci curvature.Analogous solutions on even-dimensional non-Kählerian bundle spaces are also constructed. 1 Introduction 141 2 Ricci flow on fibre bundles over products of two QK manifolds and its linearization at Einstein metrics 144 3 Ancient solutions on RP 3 fibre bundles 159 4 C 0 Cheeger-Gromov convergence implies C ∞ Cheeger-Gromov convergence and Type I solutions of the Ricci flow 171 5 Examples of ancient solutions with m ≥ 3 176
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".