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Correction to the paper 'on the curvature of a generalization of a contact metric manifolds'
- Source :
- Acta Mathematica Hungarica. 124:399-401
- Publication Year :
- 2009
- Publisher :
- Springer Science and Business Media LLC, 2009.
-
Abstract
- We considered in Example 3.1 of the paper [1] an S-structure on R2n+s . We concluded that when s > 1 this manifold cannot be of constant φ-sectional curvature. Unfortunately this result is wrong. In fact, essentially due to a sign mistake in defining the φ-structure and a consequent transposition of the elements of the φ-basis (3.2), some of the Christoffel’s symbols were incorrect. In the present rectification, using a more slendler tecnique, we prove that our manifold is of constant φ-sectional curvature −3s and then it is η-Einstein.
Details
- ISSN :
- 15882632 and 02365294
- Volume :
- 124
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Hungarica
- Accession number :
- edsair.doi...........4d5058a95619045984e011947409508b