Special Anisotropic Conformal Changes of Conic Pseudo-Finsler Surfaces
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Bibliographic record
Abstract
This study presents many special anisotropic conformal changes of a conic pseudo-Finsler surface (M, F), such as C-anisotropic and horizontal C-anisotropic conformal transformations, which reduce to C-conformal when the conformal factor is solely position-dependent. Furthermore, we present vertical C-anisotropic conformal changes and demonstrate that they are characterized by the property of (M, F) being Riemannian. Additionally, we examine the anisotropic conformal transformation that fulfils the φT-condition, the horizontal φT-condition, and the vertical φT-condition. The first two conditions reduce to the σT-condition when the conformal factor relies solely on a positional variable. We demonstrate that, under the vertical φT-condition change, every Landsberg surface is Berwaldian. Thus, the vertical φT-condition is equivalent to the T-condition. Furthermore, we examine the scenario when the anisotropic conformal factor becomes the main scalar of the non-Riemannian surface (M, F). We present an example of a Finslerian Schwarzschild-de Sitter solution having Finslerian spherical symmetry and apply our results to it.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 it