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


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0915", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Interdisciplinary Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Bryn Mawr College", 
          "id": "https://www.grid.ac/institutes/grid.253355.7", 
          "name": [
            "Bryn Mawr College, Bryn Mawr, Pennsylvania, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Donnay", 
        "givenName": "Victor", 
        "id": "sg:person.016365756563.58", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016365756563.58"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Ithaca College", 
          "id": "https://www.grid.ac/institutes/grid.257949.4", 
          "name": [
            "Ithaca College, Ithaca, New York, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Visscher", 
        "givenName": "Daniel", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1017/s0143385703000269", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054014620"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/121012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069397482"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1971011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069676314"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4007/annals.2004.159.1275", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071866822"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511809187", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098668529"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcds.2018048", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1100419558"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcds.2018048", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1100419558"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018-11", 
    "datePublishedReg": "2018-11-01", 
    "description": "We give a new proof of the existence of compact surfaces embedded in \u211d3 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.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1134/s1560354718060047", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136573", 
        "issn": [
          "1468-4845", 
          "1560-3547"
        ], 
        "name": "Regular and Chaotic Dynamics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "6", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "23"
      }
    ], 
    "name": "A New Proof of the Existence of Embedded Surfaces with Anosov Geodesic Flow", 
    "pagination": "685-694", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "dd734b13cd24eecb078c4f0213a99d6193dfb32aa2a4d88785f89a3ff638458b"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1134/s1560354718060047"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1110564766"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1134/s1560354718060047", 
      "https://app.dimensions.ai/details/publication/pub.1110564766"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T08:23", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000293_0000000293/records_12012_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1134%2FS1560354718060047"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1134/s1560354718060047'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s1560354718060047'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s1560354718060047'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s1560354718060047'


 

This table displays all metadata directly associated to this object as RDF triples.

88 TRIPLES      21 PREDICATES      33 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1134/s1560354718060047 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author N400bc609e6ee49aba0f8d838fd6bee3f
4 schema:citation https://doi.org/10.1017/cbo9780511809187
5 https://doi.org/10.1017/s0143385703000269
6 https://doi.org/10.2307/121012
7 https://doi.org/10.2307/1971011
8 https://doi.org/10.3934/dcds.2018048
9 https://doi.org/10.4007/annals.2004.159.1275
10 schema:datePublished 2018-11
11 schema:datePublishedReg 2018-11-01
12 schema:description 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.
13 schema:genre research_article
14 schema:inLanguage en
15 schema:isAccessibleForFree true
16 schema:isPartOf N06ff1ce88127434abf9ceebfe64ba9c3
17 Nee22c484d5fa4466b7f5605265034fb1
18 sg:journal.1136573
19 schema:name A New Proof of the Existence of Embedded Surfaces with Anosov Geodesic Flow
20 schema:pagination 685-694
21 schema:productId N3089eed90d6942f59f1d85ab359113d0
22 N64ccb254f4e14621be4e9dacf12e47d2
23 Nced469f696fb4f1983f37ba4055117e2
24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1110564766
25 https://doi.org/10.1134/s1560354718060047
26 schema:sdDatePublished 2019-04-11T08:23
27 schema:sdLicense https://scigraph.springernature.com/explorer/license/
28 schema:sdPublisher N4ba5b3b2be1b47cea7cfc6a898553dd3
29 schema:url https://link.springer.com/10.1134%2FS1560354718060047
30 sgo:license sg:explorer/license/
31 sgo:sdDataset articles
32 rdf:type schema:ScholarlyArticle
33 N06ff1ce88127434abf9ceebfe64ba9c3 schema:issueNumber 6
34 rdf:type schema:PublicationIssue
35 N3089eed90d6942f59f1d85ab359113d0 schema:name readcube_id
36 schema:value dd734b13cd24eecb078c4f0213a99d6193dfb32aa2a4d88785f89a3ff638458b
37 rdf:type schema:PropertyValue
38 N400bc609e6ee49aba0f8d838fd6bee3f rdf:first sg:person.016365756563.58
39 rdf:rest N8c87c06931df463dba468411487439fe
40 N4ba5b3b2be1b47cea7cfc6a898553dd3 schema:name Springer Nature - SN SciGraph project
41 rdf:type schema:Organization
42 N64ccb254f4e14621be4e9dacf12e47d2 schema:name dimensions_id
43 schema:value pub.1110564766
44 rdf:type schema:PropertyValue
45 N8c87c06931df463dba468411487439fe rdf:first Na5ac8f52920b4fa2833839107d202f0b
46 rdf:rest rdf:nil
47 Na5ac8f52920b4fa2833839107d202f0b schema:affiliation https://www.grid.ac/institutes/grid.257949.4
48 schema:familyName Visscher
49 schema:givenName Daniel
50 rdf:type schema:Person
51 Nced469f696fb4f1983f37ba4055117e2 schema:name doi
52 schema:value 10.1134/s1560354718060047
53 rdf:type schema:PropertyValue
54 Nee22c484d5fa4466b7f5605265034fb1 schema:volumeNumber 23
55 rdf:type schema:PublicationVolume
56 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
57 schema:name Engineering
58 rdf:type schema:DefinedTerm
59 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
60 schema:name Interdisciplinary Engineering
61 rdf:type schema:DefinedTerm
62 sg:journal.1136573 schema:issn 1468-4845
63 1560-3547
64 schema:name Regular and Chaotic Dynamics
65 rdf:type schema:Periodical
66 sg:person.016365756563.58 schema:affiliation https://www.grid.ac/institutes/grid.253355.7
67 schema:familyName Donnay
68 schema:givenName Victor
69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016365756563.58
70 rdf:type schema:Person
71 https://doi.org/10.1017/cbo9780511809187 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098668529
72 rdf:type schema:CreativeWork
73 https://doi.org/10.1017/s0143385703000269 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054014620
74 rdf:type schema:CreativeWork
75 https://doi.org/10.2307/121012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069397482
76 rdf:type schema:CreativeWork
77 https://doi.org/10.2307/1971011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069676314
78 rdf:type schema:CreativeWork
79 https://doi.org/10.3934/dcds.2018048 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100419558
80 rdf:type schema:CreativeWork
81 https://doi.org/10.4007/annals.2004.159.1275 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071866822
82 rdf:type schema:CreativeWork
83 https://www.grid.ac/institutes/grid.253355.7 schema:alternateName Bryn Mawr College
84 schema:name Bryn Mawr College, Bryn Mawr, Pennsylvania, USA
85 rdf:type schema:Organization
86 https://www.grid.ac/institutes/grid.257949.4 schema:alternateName Ithaca College
87 schema:name Ithaca College, Ithaca, New York, USA
88 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...