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- Pleated_surface abstract "In geometry, a pleated surface is roughly a surface that may have simple folds but is not crumpled in more complicated ways. More precisely, a pleated surface is an isometry from a complete hyperbolic surface S to a hyperbolic 3-fold such that every point of S is in the interior of a geodesic that is mapped to a geodesic. They were introduced by Thurston (1980, 8.8), where they were called uncrumpled surfaces.The Universal Book of Mathematics provides the following information about Pleated surfaces:It is a surface in Euclidean space or hyperbolic space that resembles a polyhedron in the sense that it has flat faces that meet along edges. Unlike a polyhedron, a pleated surface has no corners, but it may have infinitely many edges that form a lami-nation.".
- Pleated_surface thumbnail Knife_pleat.jpg?width=300.
- Pleated_surface wikiPageExternalLink books?id=MoZlcJv6ww0C.
- Pleated_surface wikiPageExternalLink gt3m.
- Pleated_surface wikiPageID "31096687".
- Pleated_surface wikiPageRevisionID "503405329".
- Pleated_surface hasPhotoCollection Pleated_surface.
- Pleated_surface subject Category:3-manifolds.
- Pleated_surface subject Category:Hyperbolic_geometry.
- Pleated_surface comment "In geometry, a pleated surface is roughly a surface that may have simple folds but is not crumpled in more complicated ways. More precisely, a pleated surface is an isometry from a complete hyperbolic surface S to a hyperbolic 3-fold such that every point of S is in the interior of a geodesic that is mapped to a geodesic.".
- Pleated_surface label "Pleated surface".
- Pleated_surface sameAs m.0gh8mmj.
- Pleated_surface sameAs Q7204325.
- Pleated_surface sameAs Q7204325.
- Pleated_surface wasDerivedFrom Pleated_surface?oldid=503405329.
- Pleated_surface depiction Knife_pleat.jpg.
- Pleated_surface isPrimaryTopicOf Pleated_surface.