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Three-dimensional Ricci solitons which project to surfaces
-
Paul Baird
and
Laurent Danielo
Published/Copyright:
August 1, 2007
Abstract
We study 3-dimensional Ricci solitons which project via a semi-conformal mapping to a surface. We reformulate the equations in terms of parameters of the map; this enables us to give an ansatz for constructing solitons in terms of data on the surface. A complete description of the soliton structures on all the 3-dimensional geometries is given, in particular, non-gradient solitons are found on Nil and Sol.
Received: 2005-10-25
Published Online: 2007-08-01
Published in Print: 2007-07-27
© Walter de Gruyter
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Articles in the same Issue
- Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces
- Pinching estimates and motion of hypersurfaces by curvature functions
- Characters, supercharacters and Weber modular functions
- Three-dimensional Ricci solitons which project to surfaces
- Some q-analogues of the Carter-Payne theorem
- Preperiodic points of polynomials over global fields
- Orbit-counting in non-hyperbolic dynamical systems
- On intervals with few prime numbers
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