6 citations · 6 across the 2 of their papers we have counts for
4 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…
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…