Special homogeneous surfaces

David Lindemann, Andrew Swann

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Abstract

We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneous surfaces, and they are equipped with a natural Riemannian metric obtained by restricting the negative Hessian of their defining polynomial. Independent of the degree of the polynomials, there exist a finite number of special homogeneous surfaces. They are either flat, or have constant negative curvature.

Original languageEnglish
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume177
Issue2
Pages (from-to)333-362
ISSN0305-0041
DOIs
Publication statusPublished - 2024

Fingerprint

Dive into the research topics of 'Special homogeneous surfaces'. Together they form a unique fingerprint.

Cite this