Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space

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.

Grantor dc:publisher

Università degli Studi di Cagliari

Year dc:date

2011

Author dc:creator

• 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

Statement dc:rights

• info:eu-repo/semantics/openAccess
• license:Non specificato

Language dc:language

eng

Handle dc:identifier

http://hdl.handle.net/11584/266274

OAI identifier oai:identifier

oai:iris.unica.it:11584/266274