Ontology type: schema:Chapter
2009
AUTHORS ABSTRACTWe consider sets of locally finite perimeter in Carnot groups. We show that if E is a set of locally finite perimeter in a Carnot group G then, for almost every x ∈ G with respect to the perimeter measure of E, some tangent of E at x is a vertical halfspace. This is a partial extension of a theorem of Franchi-Serapioni-Serra Cassano in step 2 Carnot groups. More... »
PAGES1-16
Advances in Phase Space Analysis of Partial Differential Equations
ISBN
978-0-8176-4860-2
978-0-8176-4861-9
http://scigraph.springernature.com/pub.10.1007/978-0-8176-4861-9_1
DOIhttp://dx.doi.org/10.1007/978-0-8176-4861-9_1
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1049815755
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/2008/0101",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Pure Mathematics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Scuola Normale Superiore di Pisa",
"id": "https://www.grid.ac/institutes/grid.6093.c",
"name": [
"Scuola Normale Superiore, piazza dei Cavalieri, 7, 56100\u00a0Pisa, Italy"
],
"type": "Organization"
},
"familyName": "Ambrosio",
"givenName": "Luigi",
"id": "sg:person.012621721115.68",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012621721115.68"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1112/jlms/s2-45.2.279",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000952570"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02392539",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004012778",
"https://doi.org/10.1007/bf02392539"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1112/plms/s3-64.3.449",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1010450381"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/aima.1995.1017",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1013512593"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/(sici)1097-0312(199610)49:10<1081::aid-cpa3>3.0.co;2-a",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1021248889"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/aima.2000.1963",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023811011"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1023/a:1016548402502",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1050647207",
"https://doi.org/10.1023/a:1016548402502"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s005260000076",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051993099",
"https://doi.org/10.1007/s005260000076"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s002080100228",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1052350785",
"https://doi.org/10.1007/s002080100228"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1971410",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069676681"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1971484",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069676747"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/cbo9780511623813",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1098672683"
],
"type": "CreativeWork"
}
],
"datePublished": "2009",
"datePublishedReg": "2009-01-01",
"description": "We consider sets of locally finite perimeter in Carnot groups. We show that if E is a set of locally finite perimeter in a Carnot group G then, for almost every x \u2208 G with respect to the perimeter measure of E, some tangent of E at x is a vertical halfspace. This is a partial extension of a theorem of Franchi-Serapioni-Serra Cassano in step 2 Carnot groups.",
"editor": [
{
"familyName": "Bove",
"givenName": "Antonio",
"type": "Person"
},
{
"familyName": "Del Santo",
"givenName": "Daniele",
"type": "Person"
},
{
"familyName": "Murthy",
"givenName": "M.K. Venkatesha",
"type": "Person"
}
],
"genre": "chapter",
"id": "sg:pub.10.1007/978-0-8176-4861-9_1",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": {
"isbn": [
"978-0-8176-4860-2",
"978-0-8176-4861-9"
],
"name": "Advances in Phase Space Analysis of Partial Differential Equations",
"type": "Book"
},
"name": "Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups",
"pagination": "1-16",
"productId": [
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/978-0-8176-4861-9_1"
]
},
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"ed4ea5ebdfd603e8984225237391bac3f9abe7232624ed79166aec4bbbb0d231"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1049815755"
]
}
],
"publisher": {
"location": "Boston",
"name": "Birkh\u00e4user Boston",
"type": "Organisation"
},
"sameAs": [
"https://doi.org/10.1007/978-0-8176-4861-9_1",
"https://app.dimensions.ai/details/publication/pub.1049815755"
],
"sdDataset": "chapters",
"sdDatePublished": "2019-04-15T22:58",
"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/v90/0000000001_0000000264/records_8695_00000274.jsonl",
"type": "Chapter",
"url": "http://link.springer.com/10.1007/978-0-8176-4861-9_1"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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.10.1007/978-0-8176-4861-9_1'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-0-8176-4861-9_1'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-0-8176-4861-9_1'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-0-8176-4861-9_1'
This table displays all metadata directly associated to this object as RDF triples.
115 TRIPLES
23 PREDICATES
39 URIs
20 LITERALS
8 BLANK NODES