Einstein metrics induced by natural Riemann extensions
type: Item
instance of: scholarly article
title: Einstein metrics induced by natural Riemann extensions
zbMATH Open document ID: 1390.53037
author: Cornelia-Livia Bejan
author: Şemsi Eken Meriç
author: Erol Kiliç
published in: Advances in Applied Clifford Algebras
publication date: 2018-02-07T00:00:00Z
review text: Einstein metrics with positive scalar curvature have many applications and their existence (or nonexistence) on various types of manifolds was studied in many papers. In the present paper, the natural Riemann extension \((T^*M,\bar g)\) of a surface \(M\) is considered. It is a pseudo-Riemannian manifold of neutral signature and its non-degenerate hypersurfaces are Lorentzian manifolds. Families of such hypersurfaces are constructed which are Einstein with positive scalar curvature.
reviewed by: Zdeněk Dušek
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 6835284
zbMATH Keywords: cotangent bundle
zbMATH Keywords: natural Riemann extension
zbMATH Keywords: Einstein manifold
MaRDI profile type: Publication
full work available at URL: s00006-017-0774-2
OpenAlex ID: W2598416645
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DOI: 10.1007/S00006-017-0774-2
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description: scientific article; zbMATH DE number 6835284