LIBRARÍA DIXITAL DA USC
Variedades de Riemann isocurvadas
- Autor/a
- Balado Alves, José Miguel
Kulkarni proved that a curvature-preserving diffeomorphism between Riemannian manifolds is a conformal transformation in the closure of the set of points where the sectional curvature is not constant. The analysis of conformal geometry conclude that such a conformal transformation needs to be an homothety if the dimension is greater than three. The three dimensional case is quite different and Yau constructed examples of isocurvedmanifolds which are not homothetics. This thesis approaches the study of this results, with emphasis in the conformal geometry.
Ficha Técnica
- Edición
- 1
- Cidade de publicación
- Santiago de Compostela
- Ano publicación
- 2023
- Serie
- 152a Publicaciones del Departamento de Geometría y Topología
- Dispoñibilidade
- Si
Kulkarni proved that a curvature-preserving diffeomorphism between Riemannian manifolds is a conformal transformation in the closure of the set of points where the sectional curvature is not constant. The analysis of conformal geometry conclude that such a conformal transformation needs to be an homothety if the dimension is greater than three. The three dimensional case is quite different and Yau constructed examples of isocurvedmanifolds which are not homothetics. This thesis approaches the study of this results, with emphasis in the conformal geometry.