On the Regularity of the s-Differential Metric
Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 601-606

Voir la notice de l'article provenant de la source Cambridge University Press

We show that the injective Kobayashi–Royden differential metric, as defined by Hahn, is upper semicontinous.
DOI : 10.4153/CMB-2005-055-5
Mots-clés : 32F45, 32Q45, Invariant metric, Kobayashi–Royden metric, Hahn metric, s-metric
Mashreghi, Javad; Pouryayevali, Mohamad R. On the Regularity of the s-Differential Metric. Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 601-606. doi: 10.4153/CMB-2005-055-5
@article{10_4153_CMB_2005_055_5,
     author = {Mashreghi, Javad and Pouryayevali, Mohamad R.},
     title = {On the {Regularity} of the {s-Differential} {Metric}},
     journal = {Canadian mathematical bulletin},
     pages = {601--606},
     year = {2005},
     volume = {48},
     number = {4},
     doi = {10.4153/CMB-2005-055-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-055-5/}
}
TY  - JOUR
AU  - Mashreghi, Javad
AU  - Pouryayevali, Mohamad R.
TI  - On the Regularity of the s-Differential Metric
JO  - Canadian mathematical bulletin
PY  - 2005
SP  - 601
EP  - 606
VL  - 48
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-055-5/
DO  - 10.4153/CMB-2005-055-5
ID  - 10_4153_CMB_2005_055_5
ER  - 
%0 Journal Article
%A Mashreghi, Javad
%A Pouryayevali, Mohamad R.
%T On the Regularity of the s-Differential Metric
%J Canadian mathematical bulletin
%D 2005
%P 601-606
%V 48
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-055-5/
%R 10.4153/CMB-2005-055-5
%F 10_4153_CMB_2005_055_5

[1] [1] Hahn, K. T., Some remarks on a new pseudo differential metric. Ann. Polon. Math. 39(1981), 71–81. Google Scholar

[2] [2] Jarnicki, M. and Pflug, P., Invariant Distances and Metrics in Complex Analysis. de Gruyter Expositions in Mathematics 9, de Gruyter, Berlin, 1993. Google Scholar

[3] [3] Kobayashi, S., A new invariant infinitesimal metric. Internat. J. Math. 1(1990), 83–90. Google Scholar

[4] [4] Kobayashi, S., Hyperbolic Manifolds and Holomorphic Mappings. Pure and Applied Mathematics 2, Marcel Dekker, New York (1970). Google Scholar

[5] [5] Overholt, M., Injective hyperbolicity of domains. Ann. Polon Math. 62(1995), 79–82. Google Scholar

[6] [6] Royden, H., Remarks on the Kobayashi metric. Lecture Notes in Math. 185, Springer-Verlag, Berlin, 1971, pp. 125–137. Google Scholar

[7] [7] Venturini, S., Pseudodistances and pseudometrics on real and complex manifolds. Ann.Mat. Pura. Appl. 154(1989), 385–402. Google Scholar

[8] [8] Vesentini, E., Injective hyperbolicity. Ricerche. Mat. 36(1987), 99–109. Google Scholar

[9] [9] Vigué, J. P., Une remarque sur l’hyperbolicité injective. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 83(1989), 57–61. Google Scholar

Cité par Sources :