EXPOSITIO

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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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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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Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

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Mathematics Differential geometry Classical differential geometry Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
Domain: Mathematics × Branch: Differential geometry × Branch: Classical differential geometry × Branch: Minimal surfaces in differential geometry, surfaces with prescribed mean curvature ×

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Expositio paper

On Minimal Surfaces

Aleksei Lopatin

Preprint
v1

This paper introduces Minimal Surfaces through the Weingarten Map and the 1st and 2nd Fundamental forms. Then, we consider two examples of a minimal surface, the catenoid and helicoid, verifying that both are indeed minimal surfaces through calculation. Finally, we end with two …

Mathematics / Differential geometry
Mathematics > Differential geometry > Minimal surfaces in differential geometry, surfaces with prescribed mean curvature Primary