C-Projective Geometry Paperback / softback
by David M Calderbank, Michael G. Eastwood, Vladimir S. Matveev, Katharina Neusser
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The authors develop in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds.
The authors realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection.
A Kahler manifold gives rise to a c-projective structure and this is one of the primary motivations for its study.
The existence of two or more Kahler metrics underlying a given c-projective structure has many ramifications, which the authors explore in depth.
As a consequence of this analysis, they prove the Yano–Obata Conjecture for complete Kahler manifolds: if such a manifold admits a one parameter group of c-projective transformations that are not affine, then it is complex projective space, equipped with a multiple of the Fubini-Study metric.
Information
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:267 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2021
- Category:
- ISBN:9781470443009
Other Formats
- PDF from £76.50
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:267 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2021
- Category:
- ISBN:9781470443009