18 citations · 37 across the 15 of their papers we have counts for
16 papers
Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification
Claudio Arezzo, Andrea Loi, Giovanni Placini +1
We study radial Kähler metrics on domains of , , admitting a Kähler immersion into a finite- or infinite-dimensional complex projective space. We classify th…
Strong formality of toric and homogeneous compact Kähler manifolds
Giovanni Placini, Jonas Stelzig, Leopold Zoller
All compact Kähler, or even -manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric va…
Approximation results for compact Vaisman manifolds
Daniele Angella, Marco Miceli, Giovanni Placini
We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem…
Nontrivial Massey products on compact Kähler manifolds
Giovanni Placini, Jonas Stelzig, Leopold Zoller
We show that the bigraded quasi-isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham…
Ricci iterations of well-behaved Kähler metrics
Andrea Loi, Giovanni Placini
We introduce a large class of canonical Kähler metrics, called in this paper well-behaved, extending metrics induced by complex space forms. We study Kähler--Ricci iterations of we…
Immersions of Sasaki-Ricci solitons into homogeneous Sasakian manifolds
Roberto Mossa, Giovanni Placini
We discuss local Sasakian immersion of Sasaki-Ricci solitons (SRS) into fiber products of homogeneous Sasakian manifolds. In particular, we prove that SRS locally induced by a larg…
Approximation of Regular Sasakian Manifolds
Giovanni Placini
We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian ma…
On weak and strict relatives Kähler manifolds
Giovanni Placini
We study Kähler manifolds that are (weak) relatives, that is, Kähler manifolds which share a (locally isometric) submanifold. In particular, we prove that if two Kähler manifolds a…
Immersions into Sasakian space forms
Andrea Loi, Giovanni Placini, Michela Zedda
We study immersions of Sasakian manifolds into finite and infinite dimensional Sasakian space forms. After proving Calabi's rigidity results in the Sasakian setting, we characteris…
Sasaki versus Kähler groups
D. Kotschick, G. Placini
We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under t…
Any Sasakian structure is approximated by embeddings into spheres
Andrea Loi, Giovanni Placini
We show that, for any given , any Sasakian structure on a closed manifold is approximated in the -norm by structures induced by CR embeddings into weighted Sasa…
Sasaki structures distinguished by their basic Hodge numbers
D. Kotschick, G. Placini
In all odd dimensions we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension we prove more precise resu…
Maximally non-integrable almost complex structures: an -principle and cohomological properties
Rui Coelho, Giovanni Placini, Jonas Stelzig
We study almost complex structures with lower bounds on the rank of the Nijenhuis tensor. Namely, we show that they satisfy an -principle. As a consequence, all parallelizable m…
Sasakian immersions of Sasaki-Ricci solitons into Sasakian space forms
Giovanni Placini
Let be a Sasaki-Ricci soliton on a Sasakian manifold . We prove that if admits a local Sasakian immersion in a Sasakian space form of constant -secti…
Engel structures on complex surfaces
Nicola Pia, Giovanni Placini
We classify complex surfaces admitting Engel structures which are complex line bundles. Namely we prove that this happens if and only if has trivi…
Minimal symplectic atlases of Hermitian symmetric spaces
Roberto Mossa, Giovanni Placini
In this paper we compute the minimal number of Darboux chart needed to cover a Hermitian symmetric space of compact type in terms of the degree of their embeddings in $\mathbb{C} P…