Intrinsic Rigidity of Bar-and-Joint Frameworks on Riemannian Manifolds XNJGNMS6H0
| URI | m2://res/XNJGNMS6H0 |
|---|---|
| Kind | preprint |
| Creators | Matthias Adrian-Himmelmann |
| Date | 2026-10-12 |
| MSC | 51-XX, 52-XX, 53-XX |
| Subjects | arxiv math.MG, arxiv math.DG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-12 |
| Ids | arXiv 2610.17004, zbl_id 903209535 |
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 |
|---|---|---|---|
| Local rigidity | definition | definition 4.1 | arxiv |
| Trivial motions lie in the radical | statement | lemma 5.6 | arxiv |
| 2P4DMQ40K2 | example | example 3.12 | arxiv |
| Second-order rigidity | definition | definition 5.4 | arxiv |
| Local frame | definition | definition A.2 | arxiv |
| Self-stress | definition | definition 5.5 | arxiv |
| Submanifolds | definition | definition B.2 | arxiv |
| Existence of motions on analytic manifolds | statement | theorem 4.9 | arxiv |
| Exponential map | definition | definition B.6 | arxiv |
| Riemannian gradient and Hessian | definition | definition B.11 | arxiv |
| 66VKTDKW7H | statement | proposition 4.11 | arxiv |
| Local equivalence | statement | proposition 4.4 | arxiv |
| Riemannian manifold | definition | definition B.1 | arxiv |
| Maxwell-type necessary count | statement | corollary 3.10 | arxiv |
| Riemannian logarithm | definition | definition B.8 | arxiv |
| Parallel Transport | definition | definition B.9 | arxiv |
| Explicit description of the Riemannian Hessian | statement | proposition 5.2 | arxiv |
| Intrinsic Riemannian framework | definition | definition 3.1 | arxiv |
| Isometries | definition | definition B.12 | arxiv |
| Stress characterization of second-order rigidity | statement | corollary 5.9 | arxiv |
| Geodesics | definition | definition B.3 | arxiv |
| Second derivative along a curve | statement | proposition 5.1 | arxiv |
| CT8F1HHXQD | statement | theorem 5.13 | arxiv |
| DDKK2C7MHA | statement | theorem 4.5 | arxiv |
| Exact stress test | statement | theorem 5.8 | arxiv |
| DX2TMQ2P81 | example | example 3.11 | arxiv |
| E88XY84SG8 | statement | proposition 3.8 | arxiv |
| E8DRH5NXNF | statement | corollary 5.15 | arxiv |
| E93TY5ASBP | statement | proposition 5.7 | arxiv |
| Injectivity radius | definition | definition B.7 | arxiv |
| Regular placement | definition | definition 4.3 | arxiv |
| Riemannian distance | definition | definition B.5 | arxiv |
| Second-order flex | definition | definition 5.3 | arxiv |
| Tangent bundle | definition | definition A.1 | arxiv |
| H85Z2ERNHH | example | example 5.17 | arxiv |
| Edge row formula | statement | proposition 3.5 | arxiv |
| Riemannian prestress stability | definition | definition 5.11 | arxiv |
| Existence of motions in regular points | statement | theorem 4.8 | arxiv |
| Infinitesimal flex | definition | definition 3.7 | arxiv |
| Intrinsic Riemannian rigidity operator | definition | definition 3.4 | arxiv |
| PETGCX3VPX | example | example 4.6 | arxiv |
| Jacobi field | definition | definition B.10 | arxiv |
| REXH6PXG5Y | statement | theorem 5.14 | arxiv |
| RTNJ8PJCW8 | statement | theorem 5.12 | arxiv |
| Infinitesimal rigidity | definition | definition 3.9 | arxiv |
| Differential | definition | definition A.3 | arxiv |
| Admissible placement | definition | definition 3.2 | arxiv |
| Characterization of the tangent space | statement | proposition B.4 | arxiv |
| ZATEEJ07SC | definition | definition 4.7 | arxiv |
Catalogue records
- arxiv: 2610.17004 (work)
- arxiv_text: 2610.17004 (work)
- zbmath_search: 903209535 (work)