27 citations · 102 across the 18 of their papers we have counts for
5 papers · 2 filters
On cohomological decomposition of generalized-complex structures
Daniele Angella, Simone Calamai, Adela Latorre
We study properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the -pure-and-fullness introduced by…
On the geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics
Simone Calamai, David Petrecca, Kai Zheng
We study the geodesic equation for the Dirichlet (gradient) metric in the space of Kaehler potentials. We first solve the initial value problem for the geodesic equation of the com…
Cohomologies of generalized complex manifolds and nilmanifolds
Daniele Angella, Simone Calamai, Hisashi Kasuya
We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the ca…
On minimal Legendrian submanifolds of Sasaki-Einstein manifolds
Simone Calamai, David Petrecca
For a given minimal Legendrian submanifold of a Sasaki-Einstein manifold we construct two families of eigenfunctions of the Laplacian of and we give a lower bound for the d…
On Calabi extremal Kaehler-Ricci solitons
Simone Calamai, David Petrecca
In this note we give a characterization of Kaehler metrics which are both Calabi extremal and Kaehler-Ricci solitons in terms of complex Hessians and the Riemann curvature tensor.…