Worm Domains are not Gromov Hyperbolic

被引：4

作者：

Arosio, Leandro ^{[1
]}

Dall'Ara, Gian Maria ^{[2
]}

Fiacchi, Matteo ^{[3
]}

机构：

[1] Univ Roma Tor Vergata, Dept Math, Rome, Italy

[2] Ist Nazl Alta Matemat F Severi, Res Unit SNS Pisa, Rome, Italy

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 08期

基金：

欧洲研究理事会;

关键词：

Worm domain; Gromov hyperbolicity; Kobayashi metric; Scaling; PSEUDOCONVEX DOMAINS; CONVEX DOMAINS;

D O I：

10.1007/s12220-023-01320-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.

引用

页数：16

共 19 条

[1] Diederich-Fornaess and Steinness Indices for Abstract CR Manifolds [J].

Adachi, Masanori ;

Yum, Jihun .

JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (08) :8385-8413

[2] Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains [J].

Balogh, ZM ;

Bonk, M .

COMMENTARII MATHEMATICI HELVETICI, 2000, 75 (03) :504-533

[3]

Baouendi MS., 1999, REAL SUBMANIFOLDS CO

[4]

Barrett D. E., 1998, CONT MATH, V212, P1

[5] BEHAVIOR OF THE BERGMAN PROJECTION ON THE DIEDERICH-FORNAESS WORM [J].

BARRETT, DE .

ACTA MATHEMATICA, 1992, 168 (1-2) :1-10

[6] CONSTRUCTION OF PEAK FUNCTIONS ON WEAKLY PSEUDOCONVEX DOMAINS [J].

BEDFORD, E ;

FORNAESS, JE .

ANNALS OF MATHEMATICS, 1978, 107 (03) :555-568

[7]

Bracci F, 2022, Arxiv, DOI arXiv:1810.11389

[8]

Bridson Martin R, 2013, Metric Spaces of Non-positive Curvature, V319

[9]

Dall'Ara GM, 2023, Arxiv, DOI arXiv:2305.17439

[10]

DIEDERICH K, 1977, MATH ANN, V225, P275, DOI 10.1007/BF01425243

← 1 2 →