Lucio Bedulli

The Ricci tensor of SU(3)-manifolds

Abstract Following the approach of Bryant [R. Bryant, Some remarks on G2-structures. e-print: math.DG/0305124] we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion.

Second-Order Geometric Flows on Foliated Manifolds

We prove a general result about the short-time existence and uniqueness of second-order geometric flows transverse to a Riemannian foliation on a compact manifold. Our result includes some flows already existing in the literature, as the transverse Ricci flow, the Sasaki–Ricci flow and the SasakiJ-flow and motivate the study of other evolution equations. We also introduce a transverse version of the Kähler–Ricci flow adapting some classical results to the foliated case.

Maximal totally complex submanifolds of ℍℙn: homogeneity and normal holonomy

We prove that a maximal totally complex submanifold

A splitting result for compact symplectic manifolds

N^{2n}

Isometric embeddings of Kähler-Ricci solitons in the complex projective space

of the quaternionic projective space

A scalar Calabi-type flow in Hermitian Geometry: short-time existence and stability

\mathbb{H}\mathbb{P}^n

Homogeneous Lagrangian submanifolds

(

A Hamiltonian Stable Minimal Lagrangian Submanifold of Projective Space with Nonparallel Second Fundamental Form

n\geq 2

A parabolic flow of balanced metrics

) is a parallel submanifold, provided one of the following conditions is satisfied: (1)

On deformations of Hamiltonian actions

N