27 citations · 102 across the 18 of their papers we have counts for
20 papers
On the dimension of affine subspaces of nilpotent matrices
Simone Calamai, Elena Rubei
The focus of the paper is on the maximal dimension of affine subspaces of nilpotent n x n matrices with fixed rank. In particular we obtain a result in the "border" case rank equal…
Higher dimensional worm domains
Simone Calamai, Gian Maria Dall'Ara
We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codi…
A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds
Daniele Angella, Simone Calamai, Francesco Pediconi +1
We extend the classical Donaldson-Fujiki interpretation of the scalar curvature as moment map in Kähler Geometry to the wider framework of locally conformally Kähler Geometry.
A Note on Chern-Yamabe Problem
Simone Calamai, Fangyu Zou
We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrang…
Remarks on Chern-Einstein Hermitian metrics
Daniele Angella, Simone Calamai, Cristiano Spotti
We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.
Positive projectively flat manifolds are locally conformally flat-Kähler Hopf manifolds
Simone Calamai
We define a partition of the space of projectively flat metrics in three classes according to the sign of the Chern scalar curvature; we prove that the class of negative projective…
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…
Moduli space of families of positive -weights
Simone Calamai
We show the geometrical structure of the moduli space of positive-weighted trees with labels which realize the same family of positive -weights and we cha…
Treelike quintet systems
Simone Calamai, Elena Rubei
Let be a finite set. We give criterion to say if a system of trees with leaf sets can be amalgamated into a supertree, that is,…
On Chern-Yamabe problem
Daniele Angella, Simone Calamai, Cristiano Spotti
We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concer…
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.…
Bott-Chern cohomology and q-complete domains
Daniele Angella, Simone Calamai
In studying the Bott-Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott-Chern q-complete manifolds.
A vanishing result for strictly p-convex domains
Daniele Angella, Simone Calamai
In view of A. Andreotti and H. Grauert's vanishing theorem for q-complete domains in C^n, (Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 9…
Geodesics in the space of Kähler cone metrics
Simone Calamai, Kai Zheng
In this paper, we study the Dirichlet problem of the geodesic equation in the space of Kähler cone metrics $\mathcal H_\b$; that is equivalent to a homogeneous complex Monge-Ampère…
The Dirichlet and the weighted metrics for the space of Kahler metrics
Simone Calamai, Kai Zheng
In this work we study the intrinsic geometry of the space of Kahler metrics under various Riemannian metrics. The first part is on the Dirichlet metric. We motivate its study, we c…
The Calabi's metric for the space of Kaehler metrics
Simone Calamai
Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold.…