Department of Mathematics
Title : Parallel (p+1)-forms on the metric cone and interpretation on the underlying manifold
| Speaker: Roberto Panai Affiliation: University of Auckland Time: 10:45 am Friday, 18 November, 2011 Location: G10, 70 Symonds St |
Abstract
| Parallel (p+1)-forms on the metric cone $(\widehat{M}=M\times R^+,\widehat{g}=r^2g+dr^2)$ are in 1-1 correspondence with a kind of conformal Killing form (called special Killing form) on $M$. If $M$ is compact, oriented and simply connected then the Berger classification for irreducible cone implies that $M$ is Sasakian, Nearly Kahler $6$-dimensional or weak $G_2$ manifold. Otherwise $M$ is the standard sphere. Reference: U. Semmelmann "Conformal KIlling forms on Riemannian manifolds". |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
