Geometric structures in Topology, Geometry, Global Analysis and Dynamics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Accesso online: | |
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| _version_ | 1866913989184716800 |
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| author | Neofytidis, Christoforos |
| author_facet | Neofytidis, Christoforos |
| contents | Following Thurston's geometrisation picture in dimension three, we study geometric manifolds in a more general setting in arbitrary dimensions, with respect to the following problems: (i) The existence of maps of non-zero degree (domination relation or Gromov's order); (ii) The Gromov-Thurston monotonicity problem for numerical homotopy invariants with respect to the domination relation; (iii) The existence of Anosov diffeomorphisms (Anosov-Smale conjecture). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06803 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Geometric structures in Topology, Geometry, Global Analysis and Dynamics Neofytidis, Christoforos Geometric Topology Algebraic Topology Differential Geometry Dynamical Systems Group Theory Following Thurston's geometrisation picture in dimension three, we study geometric manifolds in a more general setting in arbitrary dimensions, with respect to the following problems: (i) The existence of maps of non-zero degree (domination relation or Gromov's order); (ii) The Gromov-Thurston monotonicity problem for numerical homotopy invariants with respect to the domination relation; (iii) The existence of Anosov diffeomorphisms (Anosov-Smale conjecture). |
| title | Geometric structures in Topology, Geometry, Global Analysis and Dynamics |
| topic | Geometric Topology Algebraic Topology Differential Geometry Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2211.06803 |