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Compact Locally Conformally Flat Riemannian Manifolds

โœ Scribed by Cheng, Q.-M.


Book ID
125527542
Publisher
Oxford University Press
Year
2001
Tongue
English
Weight
147 KB
Volume
33
Category
Article
ISSN
0024-6093

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๐Ÿ“œ SIMILAR VOLUMES


Locally conformally flat quasi-Einstein
โœ Catino, Giovanni; Mantegazza, Carlo; Mazzieri, Lorenzo; Rimoldi, Michele ๐Ÿ“‚ Article ๐Ÿ“… 2013 ๐Ÿ› Walter de Gruyter GmbH & Co. KG ๐ŸŒ English โš– 113 KB
Locally conformally flat quasi-Einstein
โœ Catino, Giovanni; Mantegazza, Carlo; Mazzieri, Lorenzo; Rimoldi, Michele ๐Ÿ“‚ Article ๐Ÿ“… 2013 ๐Ÿ› Walter de Gruyter GmbH & Co. KG ๐ŸŒ English โš– 113 KB

In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension n f 3 is locally a warped product with รฐn ร€ 1รž-dimensional fibers of constant curvature. This result includes also the case of locally conformally flat gradient Ricci solitons.