About: Frölicher–Nijenhuis bracket

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Frölicher–Nijenhuis bracket Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Relation100031921, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FFrölicher%E2%80%93Nijenhuis_bracket

In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle.It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940). It is related to but not the same as the Nijenhuis–Richardson bracket and the Schouten–Nijenhuis bracket.

Attributes	Values
rdf:type	software yago:WikicatBilinearOperators yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Operator113786413 yago:Relation100031921
rdfs:label	Frölicher–Nijenhuis bracket (en) 弗勒利歇尔－奈恩黑斯括号 (zh)
rdfs:comment	In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle.It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940). It is related to but not the same as the Nijenhuis–Richardson bracket and the Schouten–Nijenhuis bracket. (en) 在数学中，弗勒利歇尔－奈恩黑斯括号（Frölicher–Nijenhuis bracket）是光滑流形上向量场的李括号到向量值微分形式的推广。它在研究联络，特别是埃雷斯曼联络，以及更一般的研究切丛的投影中很有用。此括号由与阿尔伯特·奈恩黑斯于1956年引入，与1940年的工作有联系。它与和相关但不是一回事。 (zh)
dcterms:subject	Differential geometry Bilinear maps
Wikipage page ID	3291722 (xsd:integer)
Wikipage revision ID	1123707583 (xsd:integer)
Link from a Wikipage to another Wikipage	Vector-valued differential form Alfred Frölicher Vector field Indagationes Mathematicae Interior product Lie derivative Differential geometry Connection (mathematics) Mathematics Tangent bundle Ehresmann connection Graded algebra Albert Nijenhuis Curvature Exterior algebra Exterior derivative Graded Lie algebra Graded vector space Projection (linear algebra) Projection (mathematics) Jan Arnoldus Schouten Bilinear maps Cocurvature Differentiable manifold Differential form Lie bracket of vector fields Nijenhuis–Richardson bracket Schouten–Nijenhuis bracket Sheaf (mathematics) Smooth manifold Vector fields Nijenhuis tensor Graded derivation Almost complex structure
sameAs	Frölicher–Nijenhuis bracket Frölicher–Nijenhuis bracket Frölicher–Nijenhuis bracket Frölicher–Nijenhuis bracket
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation
author	P. W. Michor (en)
id	F/f120230 (en)
title	Frölicher–Nijenhuis bracket (en)
has abstract	In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle.It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940). It is related to but not the same as the Nijenhuis–Richardson bracket and the Schouten–Nijenhuis bracket. (en) 在数学中，弗勒利歇尔－奈恩黑斯括号（Frölicher–Nijenhuis bracket）是光滑流形上向量场的李括号到向量值微分形式的推广。它在研究联络，特别是埃雷斯曼联络，以及更一般的研究切丛的投影中很有用。此括号由与阿尔伯特·奈恩黑斯于1956年引入，与1940年的工作有联系。它与和相关但不是一回事。 (zh)
gold:hypernym	Extension
prov:wasDerivedFrom	wikipedia-en:Frölicher–Nijenhuis_bracket?oldid=1123707583&ns=0
page length (characters) of wiki page	7551 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Frölicher–Nijenhuis_bracket
is Link from a Wikipage to another Wikipage of	Bracket (disambiguation) Alfred Frölicher Almost complex manifold Lie derivative Connection (fibred manifold) Nijenhuis Nijenhuis bracket Bracket (mathematics) Froelicher-Nijenhuis bracket Frolicher–Nijenhuis bracket Frölicher-Nijenhuis bracket Frölicher Nijenhuis bracket Graded Lie algebra The Frölicher-Nijenhuis bracket Lie bracket of vector fields Nijenhuis–Richardson bracket Schouten–Nijenhuis bracket The Frölicher Nijenhuis bracket The Frölicher–Nijenhuis bracket Frolicher-Nijenhuis bracket Frolicher-nijenhuis Frölicher-Nijenhuis calculus
is Wikipage redirect of	Froelicher-Nijenhuis bracket Frolicher–Nijenhuis bracket Frölicher-Nijenhuis bracket Frölicher Nijenhuis bracket The Frölicher-Nijenhuis bracket The Frölicher Nijenhuis bracket The Frölicher–Nijenhuis bracket Frolicher-Nijenhuis bracket Frolicher-nijenhuis Frölicher-Nijenhuis calculus
is Wikipage disambiguates of	Bracket (disambiguation) Nijenhuis Nijenhuis bracket
is foaf:primaryTopic of	wikipedia-en:Frölicher–Nijenhuis_bracket

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software