C-projective Geometry - Couverture souple

Calderbank, David M; Eastwood, Michael G.; Matveev, Vladimir S.; Neusser, Katharina

Couverture souple

ISBN 10 : 1470443007 ISBN 13 : 9781470443009

Editeur : American Mathematical Society, 2021

Synopsis

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.

A propos du livre

À propos de l'auteur

David M Calderbank, University of Bath, United Kingdom

Michael G. Eastwood, University of Adelaide, Australia.

Vladimir S. Matveev, FSU Jena, Germany.

Katharina Neusser, Charles University, Prague, The Czech Republic

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2021
• Langue: anglais
• ISBN 10: 1470443007
• ISBN 13: 9781470443009
• Reliure: Broché
• Nombre de pages: 267
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible