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Semi-Bloch functions in several complex variables
Danderyd gymnasium.
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-5328-9560
Umeå University.
Uppsala University.
2013 (English)Report (Other academic)
Abstract [en]

Let $M$ be an $n$-dimensional complex manifold. A holomorphic function $f:M\to \mathbb C$ is said to be semi-Bloch if for every $\lambda\in \mathbb C$ the function $g_\lambda=\exp(\lambda f(z))$ is normal on $M$. We characterise Semi-Bloch functions on infinitesimally Kobayashi non-degenerate $M$ in geometric as well as analytic terms. Moreover, we show that on such manifolds, semi-Bloch functions are normal.

Place, publisher, year, edition, pages
2013. , 9 p.
National Category
Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-24031OAI: oai:DiVA.org:mdh-24031DiVA: diva2:682654
Available from: 2013-12-29 Created: 2013-12-29 Last updated: 2014-01-27Bibliographically approved

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Other links

http://arxiv.org/abs/1312.6053

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Carlsson, Linus
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CiteExportLink to record
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