Sasaki metric on the tangent bundle of a Weyl manifold
Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki metric G induced by g, we construct a Weyl structure on TM. Then we prove that it is never Einstein-Weyl unless (M, g) is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri. nema
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| Veröffentlicht in: | Publications de l'Institut mathématique (Belgrade) 2018, Vol.103 (117), p.25-32 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki
metric G induced by g, we construct a Weyl structure on TM. Then we prove
that it is never Einstein-Weyl unless (M, g) is flat. The main theorem here
extends to the Weyl context a result of Musso and Tricerri.
nema |
|---|---|
| ISSN: | 0350-1302 1820-7405 |
| DOI: | 10.2298/PIM1817025B |