Riemannian manifold

real smooth manifold equipped with a Riemannian metric
rdfs:label
"Riemannian manifold"@en
skos:altLabel
"Riemann manifold"@en
"Riemann space"@en
"Riemannian space"@en
schema:description
"real smooth manifold equipped with a Riemannian metric"@en
schema:dateModified "2026-09-07T10:49:29+00:00"^^xsd:dateTime
schema:version 2541643809
wikibase:identifiers 26
wikibase:sitelinks 30
wikibase:statements 38
p:P10283 wd:statement/Q632814-081381CD-369B-4B3E-B620-1508098286F2
p:P1036 wd:statement/Q632814-0E0BECC6-79FA-413C-8822-0CCF992AB9DD
p:P10376 wd:statement/Q632814-f4b14499-4e2c-ef77-d74f-1c68e8206056
p:P12975 wd:statement/Q632814-5aa8a914-4b6f-d999-1530-4480a29b8ccc
p:P13591 wd:statement/Q632814-D9626D11-655B-4479-8809-4001ABDC30A5
p:P138 wd:statement/q632814-A84D0979-BFE1-4EC1-9E5F-AB5043954614
p:P1552 wd:statement/Q632814-e2aae402-404d-4495-bc84-41e9716588d6
p:P1889 wd:statement/Q632814-97638D14-8F69-4F2E-B548-6615B0DF65C2
p:P2163 wd:statement/Q632814-91F6BCD8-9648-4C00-9C7A-8A2538103E25
p:P227 wd:statement/Q632814-6D18CD0F-47EA-4F62-A4CB-EAF4B27A10A0
p:P2347 wd:statement/Q632814-bee2bc7a-4bf8-c8d4-9821-9822409c19a6
p:P244 wd:statement/Q632814-5F1215C9-D943-46AF-8434-F32976AF35EA
p:P2534 wd:statement/Q632814-4bbaa49f-4a0c-d3ed-22c8-3150d8ae6c04
p:P268 wd:statement/Q632814-9CB0294D-40F4-4859-9C86-83C9997674B7
p:P269 wd:statement/Q632814-72674716-9BB3-46DE-A56B-A6557019133F
p:P279 wd:statement/Q632814-caa100ca-4a6f-dd68-ba52-9632ba0309f9
wd:statement/Q632814-eedd3cb3-448a-4be1-34a9-eb7eb2a0c189
p:P2812 wd:statement/Q632814-F46CA65E-6299-4788-8DDA-3A75381AB3ED
p:P31 wd:statement/Q632814-dd34086f-41af-5e60-e7ff-405ab7b32e91
p:P349 wd:statement/Q632814-83CD95D1-D924-442A-A36F-E654BF49D290
p:P4215 wd:statement/Q632814-ECA49B7A-AEF7-4A6F-BBAD-ACAFAF224191
p:P460 wd:statement/Q632814-6c15edad-487f-7ccc-eecc-cca67a7c8b2a
p:P508 wd:statement/q632814-DEAA2135-F249-4377-B5DC-A86A34069B98
p:P527 wd:statement/Q632814-288d218f-4909-4767-000a-d3f1f790fa2e
wd:statement/Q632814-4f4c0cbc-4f69-cf3e-447b-47dea83b7f1f
p:P6104 wd:statement/Q632814-C943DFF5-BF92-4262-A7C9-D56E6597BC0E
p:P6366 wd:statement/Q632814-A4C23470-3CDD-48A6-96F7-8B0FF975AA85
p:P646 wd:statement/Q632814-66CFF88A-1DE5-4AE5-9F7C-32AFB497EDDF
p:P6781 wd:statement/Q632814-76587bb2-4397-af68-f911-efac7211223b
p:P691 wd:statement/Q632814-6BF2511A-1A2C-430D-93EC-C0E3F892F54A
p:P7305 wd:statement/Q632814-96035D5D-1DDD-4C6F-8A9E-8740563A83C9
p:P7554 wd:statement/Q632814-1d7d7846-47f7-dc1e-14e5-2b1c6cf798ed
p:P7726 wd:statement/Q632814-c66b8f68-4340-b630-bc44-95b716800977
p:P8189 wd:statement/Q632814-AB87CF72-7C4A-461C-B692-4F295163ADA1
p:P8408 wd:statement/Q632814-81819008-3AC0-4446-88C1-D2FD70C8025E
p:P8885 wd:statement/Q632814-c838d1b7-4230-fd67-05ba-90efc92895ee
p:P910 wd:statement/Q632814-C1A2E063-0D8A-4D59-9A8E-4D6C5AD16708
p:P950 wd:statement/Q632814-64AB8A61-4204-4E93-BE2B-80FD3619F804
p:direct-normalized/P2163 <http://id.worldcat.org/fast/1097804>
p:direct-normalized/P227 <https://d-nb.info/gnd/4128295-4>
p:direct-normalized/P2347 <http://www.yso.fi/onto/yso/p39163>
p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85114045>
p:direct-normalized/P268 <http://data.bnf.fr/ark:/12148/cb11959398f#about>
p:direct-normalized/P269 <http://www.idref.fr/027585662/id>
p:direct-normalized/P349 <http://id.ndl.go.jp/auth/ndlna/00569452>
p:direct-normalized/P508 <http://purl.org/bncf/tid/31542>
p:direct-normalized/P6366 <https://makg.org/entity/2779593128>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/RiemannianManifold>
p:direct-normalized/P950 <https://datos.bne.es/resource/XX552043>
wdt:P10283 "C2779593128"
wdt:P1036 "516.362"
wdt:P10376 "mathematics/riemannian-manifolds"
wdt:P12975 "8572"
wdt:P13591 "concept/e9d05d7b-af0f-4066-9808-13301e66511a"
wdt:P138 Bernhard Riemann
wdt:P1552 curvature of Riemannian manifolds
wdt:P1889 Riemann surface
wdt:P2163 "1097804"
wdt:P227 "4128295-4"
wdt:P2347 "39163"
wdt:P244 "sh85114045"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>M</mi><mo>,</mo><mi>g</mi><mo stretchy="false">&#x2208;</mo><msup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></msup><mo stretchy="false">(</mo><msup><mi data-mjx-texclass="OP" mathvariant="normal">Sym</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><mi>M</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P268 "11959398f"
wdt:P269 "027585662"
wdt:P279 pseudo-Riemannian manifold
Finsler manifold
wdt:P2812 "RiemannianManifold"
wdt:P31 mathematical concept
wdt:P349 "00569452"
wdt:P4215 "Riemannian manifold"
wdt:P460 wd:Q25514259
wdt:P508 "31542"
wdt:P527 differentiable manifold
metric tensor
wdt:P6104 WikiProject Mathematics
wdt:P6366 "2779593128"
wdt:P646 "/m/012bmm"
wdt:P6781 "Definition:Riemannian_Manifold"
wdt:P691 "ph257171"
wdt:P7305 "3904967"
wdt:P7554 "Riemannian_manifold"
wdt:P7726 "RiemannianManifold"
wdt:P8189 "987007538989305171"
wdt:P8408 "RiemannianManifold"
wdt:P8885 "리만 다양체"
wdt:P910 Category:Riemannian manifolds
wdt:P950 "XX552043"
Download as:
TurtleJSON-LDRDF/XML
data from SPARQL profile: Wikidata