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About: Levi-Civita parallelogramoid     Goto   Sponge   NotDistinct   Permalink

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

Type: boneyago:Abstraction100002137yago:Attribute100024264yago:Figure113862780yago:PlaneFigure113863186yago:Polygon113866144yago:Quadrilateral113879126yago:Shape100027807yago:WikicatQuadrilaterals New Facet based on Instances of this Class

In the mathematical field of differential geometry, the Levi-Civita parallelogramoid is a quadrilateral in a curved space whose construction generalizes that of a parallelogram in the Euclidean plane. It is named for its discoverer, Tullio Levi-Civita. Like a parallelogram, two opposite sides AA′ and BB′ of a parallelogramoid are parallel (via parallel transport along side AB) and the same length as each other, but the fourth side A′B′ will not in general be parallel to or the same length as the side AB, although it will be straight (a geodesic).