43 citations · 162 across the 29 of their papers we have counts for
30 papers
Bergman--Einstein Rigidity for Hartogs Domains over Bounded Homogeneous Domains
Roberto Mossa
We prove a rigidity theorem for the Bergman metric on Hartogs domains over bounded homogeneous domains. Let be a bounded homogeneous domain, let denote…
The polydisk theorem for Hartogs domains over symmetric domains
Andrea Loi, Roberto Mossa, Fabio Zuddas
We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded…
On the Bergman metric of Cartan-Hartogs domains
Andrea Loi, Roberto Mossa, Fabio ZUddas
We study the Bergman metric and introduce the Bergman dual on Cartan-Hartogs (CH) domains. For a bounded domain D in C^n with Bergman kernel K_D, we define the Bergman dual of (D,…
Universal embeddings of flag manifolds and rigidity phenomena
Andrea Loi, Roberto Mossa, Fabio Zuddas
We prove a universal embedding theorem for flag manifolds: every flag manifold admits a holomorphic isometric embedding into an irreducible classical flag manifold. This result gen…
Kähler duality and projective embeddings
Andrea Loi, Roberto Mossa, Fabio Zuddas
Motivated by the duality theory between Hermitian symmetric spaces of noncompact and compact types, we introduce and examine the concept of Kähler duality between domains of $\math…
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…
On holomorphic isometries into blow-ups of
Andrea Loi, Roberto Mossa
We study the Kähler-Einstein manifolds which admits a holomorphic isometry into either the generalized Burns-Simanca manifold or the Eguchi-Hanson man…
Holomorphic isometries into homogeneous bounded domains
Andrea Loi, Roberto Mossa
We prove two rigidity theorems on holomorphic isometries into homogeneous bounded domains. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of a homoge…
A Cartan-Hartogs version of the Polydisk Theorem
Roberto Mossa, Michela Zedda
We extend the Polydisk Theorem for symmetric bounded domains to Cartan-Hartogs domains, and apply it to prove that a Cartan-Hartogs domain inherits totally geodesic submanifolds fr…
On the -property for complex space forms
Roberto Mossa
Inspired by the work of Z. Lu and G. Tian [8], A. Loi, F. Salis and F. Zuddas address in [5] the problem of studying those Kähler manifolds satisfying the -property, i.e. such t…
Symplectic geometry of Cartan-Hartogs domains
Roberto Mossa, Michela Zedda
This paper studies the geometry of Cartan-Hartogs domains from the symplectic point of view. Inspired by duality between compact and noncompact Hermitian symmetric spaces, we const…
Kähler immersions of Kähler-Ricci solitons into definite or indefinite complex space forms
Andrea Loi, Roberto Mossa
Let be a Kähler-Ricci soliton on a complex manifold . We prove that if the Kähler manifold can be Kähler immersed into a definite or indefinite complex space f…
Subspace foliations and collapse of closed flat manifolds
Renato G. Bettiol, Andrzej Derdzinski, Roberto Mossa +1
We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collap…
On the diastatic entropy and C^1-rigidity of complex hyperbolic manifolds
Roberto Mossa
Let f:(Y,g)->(X,g_0) be a non zero degree continuous map between compact Kähler manifolds of dimension greater or equal to 2, where g_0 has constant negative holomorphic sectional…
Finite TYCZ expansions and cscK metrics
A. Loi, R. Mossa, F. Zuddas
Let be a Kaehler manifold whose associated Kaehler form is integral and let be a quantization hermitian line bundle. In this paper we study…
Bochner coordinates on flag manifolds
Andrea Loi, Roberto Mossa, Fabio Zuddas
We find necessary and sufficient conditions under which the complex coordinates on a flag manifold of a classical group described in [2] are Bochner coordinates.
Diastatic entropy and rigidity of hyperbolic manifolds
Roberto Mossa
Let be a continuous map between a compact real analytic Kähler manifold and a compact complex {hyperbolic manifold} . In this paper we give a…
Some remarks on homogeneous Kähler manifolds
Andrea Loi, Roberto Mossa
In this paper we provide a positive answer to a conjecture due to A. J. Di Scala, A. Loi, H. Hishi (see [3, Conjecture 1]) claiming that a simply-connected homogeneous Kähler manif…
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…
The log-term of the disc bundle over a homogeneous Hodge manifold
Andrea Loi, Roberto Mossa, Fabio Zuddas
We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous Kaehler--Einstein manifold of…
Some remarks on the Gromov width of homogeneous Hodge manifolds
Andrea Loi, Roberto Mossa, Fabio Zuddas
We provide an upper bound for the Gromov width of compact homogeneous Hodge manifolds with . As an application we obtain an upper bound on the Seshadri constant…
A note on diastatic entropy and balanced metrics
Roberto Mossa
We give un upper bound Ent(Ω, g)<λ of the diastatic entropy Ent(Ω, g) of a complex bounded domain (Ω, g) in terms of the balanced condition (in Donaldson terminology) of the Kaehle…
Symplectic capacities of Hermitian symmetric spaces
Andrea Loi, Roberto Mossa, Fabio Zuddas
Inspired by the work of G. Lu on pseudo symplectic capacities we obtain several results on the Gromov width and the Hofer--Zehnder capacity of Hermitian symmetric spaces of compact…
Upper and lower bounds for the first eigenvalue and the volume entropy of noncompact Kähler manifolds
Roberto Mossa
We find upper and lower bounds for the first eigenvalue and the volume entropy of a noncompact real analytic Kähler manifold, in terms of Calabi's diastasis function and diastatic…