Some properties of Sasakian metrics in cotangent bundles
type: Item
instance of: scholarly article
title: Some properties of Sasakian metrics in cotangent bundles
zbMATH Open document ID: 1227.53058
author: A. Salimov
author: Filiz Agca
published in: Mediterranean Journal of Mathematics
publication date: 2011-06-22T00:00:00Z
review text: The authors investigate curvature properties of the Sasakian metrics in the cotangent bundle. Let \((M_{n}, g)\) be an \(n\)-dimensional differentiable Riemannian manifold of class \(\mathcal{C}^{\infty}\) and \({}^{C}T (M_{n})\) be its cotangent bundle. When \({}^{C}T (M_{n})\) is endowed with a Sasakian metric \({}^{S}g\), they prove that \({}^{C}T (M_{n})\) is flat if and only if \(M_{n}\) is flat. They also obtain some characterizing theorems on \(({}^{C}T (M_{n}), {}^{S}g)\).
reviewed by: Fortuné Massamba
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 5911439
zbMATH Keywords: Sasakian metric
zbMATH Keywords: cotangent bundle
zbMATH Keywords: vertical and horizontal lift
zbMATH Keywords: para-Norden metric
MaRDI profile type: Publication
full work available at URL: s00009-010-0080-x
OpenAlex ID: W2034698716
Wikidata QID: Q124984426
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DOI: 10.1007/S00009-010-0080-X
description: scientific article; zbMATH DE number 5911439