Behavior of invariant metrics near convexifiable boundary points

Nikolai Nikolov

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 1, page 1-7
  • ISSN: 0011-4642

Abstract

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The behaviour of the Carathéodory, Kobayashi and Azukawa metrics near convex boundary points of domains in ℂ n is studied.

How to cite

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Nikolov, Nikolai. "Behavior of invariant metrics near convexifiable boundary points." Czechoslovak Mathematical Journal 53.1 (2003): 1-7. <http://eudml.org/doc/30754>.

@article{Nikolov2003,
abstract = {The behaviour of the Carathéodory, Kobayashi and Azukawa metrics near convex boundary points of domains in $\mathbb \{C\}^n$ is studied.},
author = {Nikolov, Nikolai},
journal = {Czechoslovak Mathematical Journal},
keywords = {Carathéodory metric; Kobayashi metric; Azukawa metric; convexifiable point; Carathéodory metric; Kobayashi metric; Azukawa metric; convexifiable point},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Behavior of invariant metrics near convexifiable boundary points},
url = {http://eudml.org/doc/30754},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Nikolov, Nikolai
TI - Behavior of invariant metrics near convexifiable boundary points
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 1
EP - 7
AB - The behaviour of the Carathéodory, Kobayashi and Azukawa metrics near convex boundary points of domains in $\mathbb {C}^n$ is studied.
LA - eng
KW - Carathéodory metric; Kobayashi metric; Azukawa metric; convexifiable point; Carathéodory metric; Kobayashi metric; Azukawa metric; convexifiable point
UR - http://eudml.org/doc/30754
ER -

References

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  2. 10.1007/BF02384773, Ark. Mat. 36 (1998), 341–353. (1998) Zbl1021.32015MR1650450DOI10.1007/BF02384773
  3. 10.1090/S0002-9939-99-04492-5, Proc. Amer. Math. Soc. 127 (1999), 105–116. (1999) MR1458872DOI10.1090/S0002-9939-99-04492-5
  4. Boundary behavior of the Carathédory and Kobayashi metrics on strongly pseudoconvex domains in ℂ n with smooth boundary, Trans. Amer. Math. Soc. 207 (1975), 219–240. (1975) MR0372252
  5. 10.24033/bsmf.2029, Bull. Soc. Math. France 113 (1985), 231–240. (1985) MR0820321DOI10.24033/bsmf.2029
  6. Global regularity for ∂ ¯ ℜ on weakly pseudoconvex manifolds, Trans. Amer. Math. Soc. 181 (1973), 273–292. (1973) MR0344703
  7. 10.1007/BF02201775, Analysis Mathematica 8 (1982), 257–261. (1982) Zbl0509.32015MR0690838DOI10.1007/BF02201775
  8. Localization, stability and boundary behavior of the Kobayashi metrics, Preprint ESI 790, Vienna, 1999, pp. 11. (1999) MR1910713
  9. 10.1215/S0012-7094-87-05516-5, Duke Math.  J. 55 (1987), 299–319. (1987) Zbl0622.32016MR0894582DOI10.1215/S0012-7094-87-05516-5

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