EXPOSITIO

A home for expository scholarship

Expositio is a repository for expository papers in a wide range of academic disciplines, supporting preprints, revisions, optional peer review, saved papers, and overlay journals.

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What is Expositio?

A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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General theory of conformal mappings

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Mathematics Functions of a complex variable Geometric function theory General theory of conformal mappings
Domain: Mathematics × Branch: Functions of a complex variable × Branch: Geometric function theory × Branch: General theory of conformal mappings ×

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Hyperbolic geometry is a non-Euclidean geometry where geodesics play the role of straight lines. It is characterised by a constant negative curvature. The idea was conceived when mathematicians tried to understand the parallel postulate. This expository paper develops the founda…

Mathematics / Differential geometry Mathematics / Geometry Mathematics / Topological groups, Lie groups Mathematics / Functions of a complex variable
Mathematics > Differential geometry > Research exposition (monographs, survey articles) pertaining to differential geometry Primary
Mathematics > Geometry > Classical or axiomatic geometry and physics
Mathematics > Topological groups, Lie groups > Structure and representation of the Lorentz group
Mathematics > Functions of a complex variable > General theory of conformal mappings