Department of Mathematics
Title : Parallel tensors for cone structures
| Speaker: Vladimir Matveev Affiliation: University of Jena Time: 10:05 am Wednesday, 7 March, 2012 Location: 303-412 |
Abstract
| One of two main steps in the proof of the classical Lichnerowicz-Obata and Obata-Yano conjectures was to understand the existence of the solutions of the so-called Obata equations. I will show that these equations are closely related to the existence of parallel tensors on the cone over the manifold and use this observation to show that the existence of a nontrivial solution on a closed manifold implies that this manifold is a sphere or a complex projective space with the standard metric. |
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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
