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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Methods of global Riemannian geometry, including PDE methods; curvature restrictions

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Mathematics Differential geometry Global differential geometry Methods of global Riemannian geometry, including PDE methods; curvature restrictions
Domain: Mathematics × Branch: Differential geometry × Branch: Global differential geometry × Branch: Methods of global Riemannian geometry, including PDE methods; curvature restrictions ×

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Expositio paper

Group Actions and Möbius Symmetries in Hyperbolic Tessellations

AJ, Aaditya Bilakanti, Palaash Gang

Preprint
v1

This expository paper explains tessellations of the hyperbolic plane from a differential-geometric viewpoint. We review the upper half-plane (H) and Poincaré disk (D) models and the Cayley transform linking them. We prove that orientation-preserving isometries are precisely PSL(…

Mathematics / Differential geometry
Mathematics > Differential geometry > Methods of global Riemannian geometry, including PDE methods; curvature restrictions Primary
Mathematics > Differential geometry > Differential geometry of symmetric spaces
Mathematics > Differential geometry > Geodesics in global differential geometry