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Subharmonic functions, conformal metrics, and CAT(0).
- Source :
- Complex Analysis & its Synergies; 3/16/2022, Vol. 8 Issue 1, p1-4, 4p
- Publication Year :
- 2022
-
Abstract
- We present an analytical proof that certain natural metric universal covers are Hadamard metric spaces. If ρ d s induces a complete distance d on a plane domain Ω , and ρ = φ ∘ u where u is (locally Lipschitz and) subharmonic in Ω , φ is positive and increasing on an interval containing u (Ω) with log φ convex, then (Ω , d) has a universal cover (Ω ~ , d ~) which is a Hadamard metric space (with geodesics that have Lipschitz continuous first derivatives). [ABSTRACT FROM AUTHOR]
- Subjects :
- SUBHARMONIC functions
GEODESICS
Subjects
Details
- Language :
- English
- ISSN :
- 25247581
- Volume :
- 8
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Complex Analysis & its Synergies
- Publication Type :
- Academic Journal
- Accession number :
- 155806975
- Full Text :
- https://doi.org/10.1007/s40627-021-00089-6