7 citations · 26 across the 7 of their papers we have counts for
9 papers
Locally conformally symplectic convexity
Florin Belgun, Oliver Goertsches, David Petrecca
We investigate special lcs and twisted Hamiltonian torus actions on strict lcs manifolds and characterize them geometrically in terms of the minimal presentation. We prove a convex…
Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein
Simone Calamai, David Petrecca
In this short note, we prove that a Calabi extremal Kaehler-Ricci soliton on a compact toric Kaehler manifold is Einstein. This solves for the class of toric manifolds a general pr…
Irreducibility of the Laplacian eigenspaces of some homogeneous spaces
David Petrecca, Markus Roeser
For a compact homogeneous space , we study the problem of existence of -invariant Riemannian metrics such that each eigenspace of the Laplacian is a real irreducible repres…
Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds
David Petrecca, Lars Schäfer
In this paper we provide a second variation formula for L-minimal Lagrangian submanifolds in a pseudo-Sasakian manifold. We apply it to the case of Lorentzian-Sasakian manifolds an…
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…
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.…
On Sasaki-Ricci solitons and their deformations
David Petrecca
We extend to the Sasakian setting a result of Tian and Zhu about the decomposition of the Lie algebra of holomorphic vector fields on a Kähler manifold in the presence of a Kähler-…
Construction of homogeneous Lagrangian submanifolds in $\CP^n$ and Hamiltonian stability
David Petrecca, Fabio Podesta'
We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. F…