FAQ

A note on relation between Azukawa isometries at one point and global biholomorphisms

Publication date: 05.06.2013

Universitatis Iagellonicae Acta Mathematica, 2012, Volume 50, pp. 127-131

https://doi.org/10.4467/20843828AM.12.003.1128

Authors

Małgorzata Zajęcka
Institute of Mathematics, Jagiellonian University, Cracow, Poland
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Contact with author
All publications →

Download full text

Titles

A note on relation between Azukawa isometries at one point and global biholomorphisms

Abstract

We prove that under certain assumptions holomorphic functions which are Azukawa isometries at one point are in fact biholomorphisms.

References

Download references

1. Azukawa K., The invariant pseudo-metric related to negative plurisubharmonic functions, Kodai Math. J., 10 (1987), 83–92.

2. Graham I., Holomorphic mappings into strictly convex domains which are Kobayashi isometries at one point, Proc. Amer. Math. Soc., 105 (1989), 917–921.

3. Jarnicki M., Pflug P., Invariant Distances and Metrics in Complex Analysis, De Gruyter Exp. Math., 9, Walter de Gruyter, Berlin, 1993.

4. Klimek M., Extremal plurisubharmonic functions and invariant pseudodistances, Bull. Soc. Math. France, 113 (1985), 231–240.

5. Klimek M., Infinitesimal pseudometrics and the Schwarz Lemma, Proc. Amer. Math. Soc., 105 (1989), 134–140.

6. Klimek M., Pluripotential Theory, Oxford University Press, New York, 1991.

7. Pang M.-Y., On infinitesimal behavior of the Kobayashi distance, Pac. J. Math., 162 (1994), 121–141.

8. Rudin W., Function Theory in the Unit Ball of Cn , Classics in Mathematics, Springer- Verlag, Berlin, 2008.

9. Vigu´e J.-P., Caract´erisation des automorphismes analytiques d’un domaine convexe born´e, C. R. Acad. Sci. Paris, 299 (1984), 101–104.

Information

Information: Universitatis Iagellonicae Acta Mathematica, 2012, Volume 50, pp. 127-131

Article type: Original article

Authors

Institute of Mathematics, Jagiellonian University, Cracow, Poland

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Published at: 05.06.2013

Article status: Open

Licence: None

Percentage share of authors:

Małgorzata Zajęcka (Author) - 100%

Article corrections:

-

Publication languages:

English

A note on relation between Azukawa isometries at one point and global biholomorphisms

cytuj

pobierz pliki

RIS BIB ENDNOTE