Notes on projective structures on complex manifolds

DOI10.1017/S0027763000001690zbMath0667.30038MaRDI QIDQ3819296

Björn Gustafsson, Jaak Peetre

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

uniformizationaffine connectionprojective structurescomplex manifoldsEichler cohomologyBol operatorLaguerre-Forsyth invariants

Mathematics Subject Classification ID

Linear and affine connections (53B05) Differentials on Riemann surfaces (30F30) Projective connections (53B10) Kernel functions in one complex variable and applications (30C40)

Related Items

Hankel forms of arbitrary weight over a symmetric domain via the transvectant ⋮ Differential operators associated with holomorphic mappings ⋮ Projective structures on an annulus and Hankel forms ⋮ Faà di Bruno's formula and modular forms ⋮ Superconformally covariant operators and super-W-algebras ⋮ Outline of a scientific biography of Ernst Meissel (1826-1895) ⋮ Coefficient estimates for negative powers of the derivative of univalent functions ⋮ N=2 supercovariant operators and Krichever–Novikov algebra ⋮ Finite and infinite order differential relations for theta functions ⋮ Primary currents and Riemannian geometry in W algebras ⋮ Big Hankel operators of higher weight ⋮ Vortex motion and geometric function theory: the role of connections ⋮ Polyanalytic forms on compact Riemann surfaces

Cites Work

• Eine Verallgemeinerung der Abelschen Integrale
• Hall-order differentials on Riemann surfaces
• Special coordinate coverings of Riemann surfaces
• Connections and conformal mapping
• The variational theory of higher-order linear differential equations
• A New Generalization of Hankel Operators (the Case of Higher Weights)
• Some analytic and geometric applications of the invariant theoretic method

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