1,721,174 research outputs found
On hyperbolicity of SU(2)-equivariant, punctured disc bundles over the complex affine quadric
No full textGiven a holomorphic line bundle over the complex affine quadric (2), we investigate its Stein, SU(2)-equivariant disc bundles. Up to equivariant biholomorphism, these are all contained in a maximal one, say Omega(max). By removing the zero section from Omega(max) one obtains the unique Stein, SU(2)-equivariant, punctured disc bundle over (2) which contains entire curves. All other such punctured disc bundles are shown to be Kobayashi hyperbolic
A REMARK ON THE N-INVARIANT GEOMETRY OF BOUNDED HOMOGENEOUS DOMAINS
No full textLet D be a bounded homogeneous domain in Cn. In this note, we give a characterization of the Stein domains in D which are invariant under a maximal unipotent subgroup N of Aut(D). We also exhibit an Ninvariant potential of the Bergman metric of D, expressed in a Lie theoretical fashion. These results extend the ones previously obtained by the authors in the symmetric case
Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces
No full textLet G/K be an irreducible non-compact Hermitian symmetric space and let D be a K- invariant domain in G / K . In this paper we characterize several classes of K -invariant plurisubharmonic functions on D in terms of their restrictions to a slice intersecting all K -orbits. As applications we show that K -invariant plurisubharmonic functions on D are necessarily continuous and we reproduce the classification of Stein K -invariant domains in G/K obtained by Bedford and Dadok. (J Geom Anal 1:1–17, 1991)
Women in Financial Services. Exploring Progress towards Gender Equality
No full textThis book explores gender diversity in the financial system, focusing especially on regulations, disclosure standards, theories and literature on the relationship between women in atypical positions and bank performance, female representation in governance bodies of banks and insurance companies, the gender pay gap and the gender balance in Central Banks. The topics are examined highlighting the progress towards gender equality (SDG 5) and the room for improvement in financial services with implications for policymakers, regulators and researchers in both finance and gender studies
The Systemic Importance of Cyber Risk in Banks
No full textThis chapter aims to analyse cyber risk with specific regard to the banking and financial sector by highlighting the progress made in academic studies (section “The Cyber Risk in Banks: A Literature Review”), the systemic impacts of this risk (section “Cyber Risk as a Systemic Risk”) as well as the point of view of supervisory authorities (section “The Point of View of Financial Regulators”). At the end of the chapter, data provided by the ORBIS database are reported in order to understand current bank (and other financial institutions) exposure to this new and sophisticated risk (section “Banks’ Exposure to Cyber Risk: Some Empirical Evidence”)
Women in Financial Services. Exploring Progress towards Gender Equality
No full textThis book explores gender diversity in the financial system, focusing especially on regulations, disclosure standards, theories and literature on the relationship between women in atypical positions and bank performance, female representation in governance bodies of banks and insurance companies, the gender pay gap and the gender balance in Central Banks. The topics are examined highlighting the progress towards gender equality (SDG 5) and the room for improvement in financial services with implications for policymakers, regulators and researchers in both finance and gender studies
Maximal complexifications of certain Riemannian homogeneous manifolds.
No full textLet M = G/K be a homogeneous Riemannian manifold with dim_C G^C = dim_R G, where G^C denotes the universal complexification of G. Under certain extensibility assumptions on the geodesic flow of M, we give a characterization of the maximal domain of definition in TM for the adapted complex structure and show that it is unique. For instance, this can be done for generalized Heisenberg groups and naturally reductive homogeneous Riemannian spaces. As an application it is shown that the case of generalized Heisenberg groups yields examples of maximal domains of definition for the adapted complex structure which are neither holomorphically separable nor holomorphically convex
On Naturally reductive left-invariant metrics of SL(2,R)
No full textOn any real semisimple Lie group we consider a one parameter
family of left-invariant naturally reductive metrics. Their
geodesic flow in terms of Killing curves, the Levi Civita connection
and the main curvature properties are explicitly computed.
Furthermore we present a group theoretical revisitation of a classical
realization of all simply connected
3-dimensional manifolds with a transitive
group of isometries due to L. Bianchi and \'E. Cartan. As a consequence one
obtains a characterization of all naturally reductive left-invariant
Riemannian metrics of
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