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The geometry of Lorentzian Ricci solitons
- Autor/a
- Gavino Fernández, Sandra
The investigation of rigidity phenomena is a central and broad topic
in pseudo-Riemannian geometry. Rigidity results may appear at the
metric level, like splitting theorems, or at the topological level,
being compactness theorems or results involving the first fundamental
group classical examples. Moreover, if the manifold is equipped with
some additional structure, one analyzes its behavior as it often gives
rise to restrictions at both levels. In this thesis we consider
Lorentzian manifolds equipped with an additional structure given by
certain differential equations: the Ricci soliton and the
quasi-Einstein equations.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Editorial
- Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico
- Publication Year
- 12/05/2013
- File Size
- 1.3 MB
- Serie
- Publicaciones del Departamento de Geometría y Topología
- ISBN
- 9788489390423
- Availability
- Si
The investigation of rigidity phenomena is a central and broad topic
in pseudo-Riemannian geometry. Rigidity results may appear at the
metric level, like splitting theorems, or at the topological level,
being compactness theorems or results involving the first fundamental
group classical examples. Moreover, if the manifold is equipped with
some additional structure, one analyzes its behavior as it often gives
rise to restrictions at both levels. In this thesis we consider
Lorentzian manifolds equipped with an additional structure given by
certain differential equations: the Ricci soliton and the
quasi-Einstein equations. ...