We study an odd-dimensional analogue of the Goldberg conjecture for compact Einstein almost Kähler manifolds. We give an explicit non-compact example of an Einstein almost cokähler manifold that is not cokähler. We prove that compact Einstein almost cokähler manifolds with nonnegative *-scalar curvature are cokähler (indeed, transversely Calabi–Yau); more generally, we give a lower and upper bound for the *-scalar curvature in the case that the structure is not cokähler. We prove similar bounds for almost Kähler Einstein manifolds that are not Kähler.

Conti, D., Fernández, M. (2016). Einstein almost cokähler manifolds. MATHEMATISCHE NACHRICHTEN, 289(11-12), 1396-1407 [10.1002/mana.201400412].

Einstein almost cokähler manifolds

CONTI, DIEGO
;
2016

Abstract

We study an odd-dimensional analogue of the Goldberg conjecture for compact Einstein almost Kähler manifolds. We give an explicit non-compact example of an Einstein almost cokähler manifold that is not cokähler. We prove that compact Einstein almost cokähler manifolds with nonnegative *-scalar curvature are cokähler (indeed, transversely Calabi–Yau); more generally, we give a lower and upper bound for the *-scalar curvature in the case that the structure is not cokähler. We prove similar bounds for almost Kähler Einstein manifolds that are not Kähler.
Articolo in rivista - Articolo scientifico
almost cokähler; Goldberg conjecture; manifolds;
almost cokähler; Goldberg conjecture; manifolds
English
1396
1407
12
Conti, D., Fernández, M. (2016). Einstein almost cokähler manifolds. MATHEMATISCHE NACHRICHTEN, 289(11-12), 1396-1407 [10.1002/mana.201400412].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/134944
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