2026-09-22T01:56:27Zhttps://iris.unica.it/oai/requestoai:iris.unica.it:11584/2662742022-10-20T08:56:34Zcom_11584_207615com_11584_111066col_11584_265854
Balanced metrics on complex vector bundles and
the diastatic exponential of a symmetric space
MOSSA, ROBERTO
Bergman operator
Jordan triple systems
Kähler metrics
balanced basis
balanced metric
bounded symmetric domains
holomorphic maps into grassmannians
moment maps
symplectic duality
Settore MAT/03 - Geometria
This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we
prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a diffeomorphism and it is uniquely determined by its restriction to polydisks.
2011-01-13
info:eu-repo/semantics/doctoralThesis
http://hdl.handle.net/11584/266274
eng
numberofpages:53
info:eu-repo/semantics/openAccess
Università degli Studi di Cagliari
license:Non specificato