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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a lower bound of the Kobayashi metric
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by Nikolai Nikolov PDF
Proc. Amer. Math. Soc. 144 (2016), 4393-4394 Request permission

Abstract:

It is shown that a lower bound of the Kobayashi metric of convex domains in $\mathbb {C}^n$ does not hold for non-convex domains.
References
  • E. Bedford and S. I. Pinchuk, Convex domains with noncompact groups of automorphisms, Mat. Sb. 185 (1994), no. 5, 3–26 (Russian, with Russian summary); English transl., Russian Acad. Sci. Sb. Math. 82 (1995), no. 1, 1–20. MR 1275970, DOI 10.1070/SM1995v082n01ABEH003550
  • Sidney Frankel, Applications of affine geometry to geometric function theory in several complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure, Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989) Proc. Sympos. Pure Math., vol. 52, Amer. Math. Soc., Providence, RI, 1991, pp. 183–208. MR 1128543, DOI 10.1090/pspum/052.2/1128543
  • Ian Graham, Sharp constants for the Koebe theorem and for estimates of intrinsic metrics on convex domains, Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989) Proc. Sympos. Pure Math., vol. 52, Amer. Math. Soc., Providence, RI, 1991, pp. 233–238. MR 1128547, DOI 10.1090/pspum/052.2/1128547
  • Lars Hörmander, Notions of convexity, Progress in Mathematics, vol. 127, Birkhäuser Boston, Inc., Boston, MA, 1994. MR 1301332
  • L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math. 8 (1982), no. 4, 257–261 (English, with Russian summary). MR 690838, DOI 10.1007/BF02201775
  • N. Nikolov, M. Trybuła, and L. Andreev, Boundary behavior of invariant functions on planar domains, Complex Var. Elliptic Equ., 2016, DOI 10.1080/17476933.2015.1136823.
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Additional Information
  • Nikolai Nikolov
  • Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria —and— Faculty of Information Sciences, State University of Library Studies and Information Technologies, Shipchenski prohod 69A, 1574 Sofia, Bulgaria
  • MR Author ID: 332842
  • Email: nik@math.bas.bg
  • Received by editor(s): December 17, 2015
  • Received by editor(s) in revised form: December 19, 2015
  • Published electronically: April 25, 2016
  • Communicated by: Franc Forstneric
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4393-4394
  • MSC (2010): Primary 32F45
  • DOI: https://doi.org/10.1090/proc/13072
  • MathSciNet review: 3531188