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We answer in the affirmative the question posed by Babenko, and Taimanov [3] on the existence of nonformal, simply connected, compact symplectic manifolds of dimension 8.texto impreso
We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manif[...]texto impreso
Regarding the article “Formality of Donaldson submanifolds” published in Mathematische Zeitschrift, vol. 250 (2005), pp. 149–175, Lemma 2.7 was incorrect. This page is considered as the erratum. The following is the correct version of Lemma 2.7.texto impreso
We introduce the concept of s–formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n ? 1), is formal if and only if M is (n ? 1)–formal. The formality and the hard Lefschetz pro[...]texto impreso
We prove that any totally geodesic hypersurface N5 of a 6-dimensional nearly K¨ahler manifold M6 is a Sasaki–Einstein manifold, and so it has a hypo structure in the sense of Conti and Salamon [Trans. Amer. Math. Soc. 359 (2007) 5319–5343]. We s[...]texto impreso
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product. As an application we prove that there are non-for[...]texto impreso
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vani[...]texto impreso
We construct examples of non-formal simply connected and compact oriented manifolds of any dimension bigger or equal to 7.texto impreso
We study the formality of the total space of principal SU(2) and SO(3)bundles over a Wolf space, that is a symmetric positive quaternionic K¨ahler manifold. We apply this to conclude that all the 3-Sasakian homogeneous spaces are formal. We also[...]texto impreso
We introduce a method to resolve a symplectic orbifold (M, omega) into a smooth symplectic manifold ((M) over tilde,(omega) over tilde). Then we study how the formality and the Lefschetz property of ((M) over tilde,(omega) over tilde) are compar[...]texto impreso
In a previous paper, the authors show some examples of compact symplectic solvman-ifolds, of dimension six, which are cohomologically KÄahler and they do not admit Kahler metrics because their fundamental groups cannot be the fundamental group o[...]texto impreso
We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ? 0 if and only if n ? 3 and b ? 2, or n ? (7 ? 2b) and 0 ? b ? 2. Moreover, we present explicit examples for each one of these cases.
