Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics J99PFFJXPE
| URI | m2://res/J99PFFJXPE |
|---|---|
| Kind | preprint |
| Creators | Michael Kunzinger, Argam Ohanyan, Alessio Vardabasso |
| Date | 2024-06-10 |
| MSC | 53-XX, 51-XX, 52-XX |
| Subjects | arxiv math.DG, arxiv math.MG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2024-06-10 |
| Ids | arXiv 2406.06762 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 10ZNTF2HSY | statement | proposition 4.4 | arxiv |
| Flatness for $C^k$-metrics | statement | corollary 3.22 | arxiv |
| 1EPC6ZDERK | statement | theorem 4.13 | arxiv |
| 1H0ZTJQ7P4 | statement | proposition 4.5 | arxiv |
| 1NEB3SBYWP | statement | proposition 4.15 | arxiv |
| 2T6G67G3BS | statement | lemma 3.1 | arxiv |
| 2X0B0H0WWE | statement | theorem 3.16 | arxiv |
| Consequences of $\Riem_g=0$ | statement | proposition 3.18 | arxiv |
| Cheeger-Gromoll splitting for low regularity Riemannian metrics | statement | theorem 1.1 | arxiv |
| Generalized Bochner-Weitzenböck identity | statement | theorem 3.2 | arxiv |
| 6FWSXF2K82 | statement | proposition 3.11 | arxiv |
| 6RTQ819N3J | statement | proposition 2.5 | arxiv |
| AZE3VBJZH5 | statement | proposition 4.7 | arxiv |
| B9NPFDPGB2 | statement | theorem 4.8 | arxiv |
| BJK2VRZAZR | statement | theorem 4.14 | arxiv |
| $C^1$-Hopf-Rinow | statement | theorem 3.10 | arxiv |
| DBG1AJ6KTZ | statement | proposition 3.14 | arxiv |
| DHEW7TDQBE | statement | proposition 3.8 | arxiv |
| DWV14A80DP | example | example 4.3 | arxiv |
| E1DFH206FH | definition | definition 2.1 | arxiv |
| Extending vectors to parallel vector fields | statement | proposition 3.19 | arxiv |
| Flatness criterion for low regularity semi-Riemannian metrics | statement | theorem 1.2 | arxiv |
| F4A6NV1MSN | definition | definition 2.2 | arxiv |
| GP3QXETX73 | statement | theorem 4.11 | arxiv |
| GSSCWABA20 | statement | proposition 3.6 | arxiv |
| H875PFKQEC | statement | theorem 4.16 | arxiv |
| Cheeger-Gromoll splitting theorem for $C^1$-metrics | statement | theorem 3.5 | arxiv |
| M9G535YNVM | definition | definition 4.9 | arxiv |
| MAA5E91YJA | statement | lemma 4.6 | arxiv |
| MCE9GANV2H | statement | corollary 3.15 | arxiv |
| MVMS4HTVYM | statement | corollary 3.9 | arxiv |
| P4D6ZPR8C9 | statement | proposition 4.2 | arxiv |
| Flatness for $C^1$-metrics | statement | theorem 3.21 | arxiv |
| RMYQX7A58W | statement | proposition 3.12 | arxiv |
| S9XP7TM3HW | definition | definition 4.10 | arxiv |
| T8E47V6WZK | statement | corollary 3.13 | arxiv |
| V9Q9XBCNYR | statement | proposition 2.3 | arxiv |
| XTS9EBRA29 | statement | theorem 4.12 | arxiv |
| Coordinates from $C^1$-vector fields | statement | lemma 3.20 | arxiv |
Catalogue records
- arxiv: 2406.06762 (work)
- arxiv_text: 2406.06762 (work)