A New Proof of the Existence of Embedded Surfaces with Anosov Geodesic Flow View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-11

AUTHORS

Victor Donnay, Daniel Visscher

ABSTRACT

We give a new proof of the existence of compact surfaces embedded in ℝ3 with Anosov geodesic flows. This proof starts with a noncompact model surface whose geodesic flow is shown to be Anosov using a uniformly strictly invariant cone condition. Using a sequence of explicit maps based on the standard torus embedding, we produce compact embedded surfaces that can be seen as small perturbations of the Anosov model system and hence are themselves Anosov. More... »

PAGES

685-694

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s1560354718060047

DOI

http://dx.doi.org/10.1134/s1560354718060047

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110564766


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