Invariant Pseudodistances and Pseudometrics in Complex Analysis in Several Variables
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
At present time invariant pseudodistances and pseudometrics pose an important tool in complex analysis in several variables. This thesis is mainly devoted to giving a thorough definition of these objects and in particular to Schwarz-Pick systems such as the Carathéodory and Kobayashi pseudodistances.
Most basic properties, such as continuity and boundary behaviour, of the Carathéodory and Kobayashi pseudo-distances and pseudometrics are investigated. As an application of the theory, the thesis is concluded with a proof of the biholomorphic inequivalence between the unit ball and unit polydisc in Cn.
Place, publisher, year, edition, pages
2003. , 51 p.
IdentifiersURN: urn:nbn:se:umu:diva-51362OAI: oai:DiVA.org:umu-51362DiVA: diva2:479228
UppsokPhysics, Chemistry, Mathematics