Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces

DOI10.4310/MRL.2003.V10.N3.A8zbMath1052.32029MaRDI QIDQ1429233

Sai Kee Yeung

Publication date: 18 May 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Teichmüller spacemoduli spaceRiemann surfacelength functionHermitian metricBergman metricKähler metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Pluriharmonic and plurisubharmonic functions (31C10) Teichmüller theory for Riemann surfaces (30F60) Plurisubharmonic exhaustion functions (32U10)

Related Items (11)

EXAMPLES OF A NON-VANISHING CONJECTURE OF KAWAMATA ⋮ The pluripotential compactification of Teichmüller space ⋮ Systolic surfaces of arithmetic hyperbolic 3-manifolds ⋮ Extremal length functions are log-plurisubharmonic ⋮ Spectral Geometry for the Riemann Moduli Space ⋮ THE BERGMAN METRIC ON TEICHMÜLLER SPACE ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis ⋮ Geometry of domains with the uniform squeezing property ⋮ Torelli locus and rigidity ⋮ Complex geometry of Teichmüller domains ⋮ Strict plurisubharmonicity of the energy on Teichmüller space associated to Hitchin representations

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