| dbo:abstract |
In vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a family of surfaces. In the broader context of differential geometry, complex lamellar vector fields are more often called hypersurface-orthogonal vector fields. They can be characterized in a number of different ways, many of which involve the curl. A lamellar vector field is a special case given by vector fields with zero curl. The adjective "lamellar" derives from the noun "lamella", which means a thin layer. The lamellae to which "lamellar vector field" refers are the surfaces of constant potential, or in the complex case, the surfaces orthogonal to the vector field. This language is particularly popular with authors in rational mechanics. (en) |
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https://archive.org/details/vectorstensorsba00aris%7Czbl=0123.41502 https://zenodo.org/record/4461500 |
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| dbp:1a |
Flanders (en) Wheeler (en) Lee (en) O'Neill (en) Aris (en) Thorne (en) Wald (en) Choquet-Bruhat (en) DeWitt-Morette (en) Dillard-Bleick (en) Misner (en) Panton (en) |
| dbp:1loc |
Appendix B.3 (en) Lemma 19.6 (en) Proposition 12.30 (en) Section IV.C.6 (en) |
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64 (xsd:integer) 66 (xsd:integer) 72 (xsd:integer) 247 (xsd:integer) 358 (xsd:integer) 360 (xsd:integer) 434 (xsd:integer) |
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96 (xsd:integer) 123 (xsd:integer) |
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1962 (xsd:integer) 1973 (xsd:integer) 1982 (xsd:integer) 1983 (xsd:integer) 1984 (xsd:integer) 1989 (xsd:integer) 2013 (xsd:integer) |
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Kramer (en) Stephani (en) Hoenselaers (en) MacCallum (en) Panton (en) |
| dbp:2loc |
Section 17.4 (en) |
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68 (xsd:integer) |
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2003 (xsd:integer) 2013 (xsd:integer) |
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Wald (en) |
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Section 6.1 (en) |
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1984 (xsd:integer) |
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dbc:Vector_calculus |
| rdfs:comment |
In vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a family of surfaces. In the broader context of differential geometry, complex lamellar vector fields are more often called hypersurface-orthogonal vector fields. They can be characterized in a number of different ways, many of which involve the curl. A lamellar vector field is a special case given by vector fields with zero curl. (en) |
| rdfs:label |
Complex lamellar vector field (en) |
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freebase:Complex lamellar vector field wikidata:Complex lamellar vector field http://bs.dbpedia.org/resource/Kompleksno_lamelarno_vektorsko_polje https://global.dbpedia.org/id/4hk1r |
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wikipedia-en:Complex_lamellar_vector_field?oldid=1083533774&ns=0 |
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