64 citations · 119 across the 12 of their papers we have counts for
12 papers
Nearly parallel -manifolds: formality and associative submanifolds
Marisa Fernández, Anna Fino, Alexei Kovalev +1
We construct new examples of non-formal simply connected compact Sasaki-Einstein 7-manifolds. We determine the minimal model of the total space of any fibre bundle over with…
Deformations of calibrated submanifolds with boundary
Alexei Kovalev
We review some results concerning the deformations of calibrated minimal submanifolds which occur in Riemannian manifolds with special holonomy. The calibrated submanifolds are ass…
Constructions of compact G2-holonomy manifolds
Alexei Kovalev
This is a survey paper. We explain the known constructions for two geometrically different classes of examples of compact Riemannian 7-manifolds with holonomy G2. One method uses r…
A compact -calibrated manifold with first Betti number
Marisa Fernández, Anna Fino, Alexei Kovalev +1
We construct a compact formal 7-manifold with a closed -structure and with first Betti number , which does not admit any torsion-free -structure, that is, it does…
Asymptotically cylindrical manifolds with holonomy Spin(7). I
Alexei Kovalev
We construct examples of asymptotically cylindrical Riemannian 8-manifolds with holonomy group Spin(7). To our knowledge, these are the first such examples. The construction uses a…
Asymptotically cylindrical 7-manifolds of holonomy G_2 with applications to compact irreducible G_2-manifolds
Alexei Kovalev, Johannes Nordström
We construct examples of exponentially asymptotically cylindrical Riemannian 7-manifolds with holonomy group equal to G_2. To our knowledge, these are the first such examples. We a…