The moment map and the group of volume-preserving diffeomorphisms: applications to differential geometry
In this work, we use this moment map to relate solutions to certain differential equations to (i) diffeomorphisms of compact Riemann surfaces, (ii) additional Kähler metrics on a given compact Kähler manifold, and (iii) symplectic forms on 4-manifolds.
- Autores:
-
Dorado Toro, Daniel Fernando
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2023
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/69072
- Acceso en línea:
- http://hdl.handle.net/1992/69072
- Palabra clave:
- Differential geometry
Moment map
Symplectic geometry
Manifolds
Kähler manifolds
Infinite-dimensional manifolds
Diffeomorphism groups
Matemáticas
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
| Summary: | In this work, we use this moment map to relate solutions to certain differential equations to (i) diffeomorphisms of compact Riemann surfaces, (ii) additional Kähler metrics on a given compact Kähler manifold, and (iii) symplectic forms on 4-manifolds. |
|---|