Einstein almost cokähler manifolds |
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| Authors: | Diego Conti Marisa Fernández |
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| Affiliation: | 1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Milano, Italy;2. Universidad del País Vasco, Facultad de Ciencia y Tecnología, Departamento de Matemáticas, Bilbao, Spain |
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| 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. |
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| Keywords: | Goldberg conjecture almost cokä hler manifolds |
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