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- Caustic_(mathematics) abstract "In differential geometry and geometric optics, a caustic is the envelope of rays either reflected or refracted by a manifold. It is related to the concept of caustics in optics. The ray's source may be a point (called the radiant) or parallel rays from a point at infinity, in which case a direction vector of the rays must be specified.More generally, especially as applied to symplectic geometry and singularity theory, a caustic is the critical value set of a Lagrangian mapping (π ○ i) : L ↪ M ↠ B; where i : L ↪ M is a Lagrangian immersion of a Lagrangian submanifold L into a symplectic manifold M, and π : M ↠ B is a Lagrangian fibration of the symplectic manifold M. The caustic is a subset of the Lagrangian fibration's base space B.".
- Caustic_(mathematics) thumbnail Circle_caustic.png?width=300.
- Caustic_(mathematics) wikiPageID "880406".
- Caustic_(mathematics) wikiPageLength "3878".
- Caustic_(mathematics) wikiPageOutDegree "29".
- Caustic_(mathematics) wikiPageRevisionID "655157033".
- Caustic_(mathematics) wikiPageWikiLink Base_space.
- Caustic_(mathematics) wikiPageWikiLink Category:Differential_geometry.
- Caustic_(mathematics) wikiPageWikiLink Caustic_(optics).
- Caustic_(mathematics) wikiPageWikiLink Cramers_rule.
- Caustic_(mathematics) wikiPageWikiLink Critical_value.
- Caustic_(mathematics) wikiPageWikiLink Cut_locus_(Riemannian_manifold).
- Caustic_(mathematics) wikiPageWikiLink Differential_geometry.
- Caustic_(mathematics) wikiPageWikiLink Envelope_(mathematics).
- Caustic_(mathematics) wikiPageWikiLink Evolute.
- Caustic_(mathematics) wikiPageWikiLink Fiber_bundle.
- Caustic_(mathematics) wikiPageWikiLink Fibration.
- Caustic_(mathematics) wikiPageWikiLink Geometric_optics.
- Caustic_(mathematics) wikiPageWikiLink Geometrical_optics.
- Caustic_(mathematics) wikiPageWikiLink Lagrangian_mapping.
- Caustic_(mathematics) wikiPageWikiLink Last_geometric_statement_of_Jacobi.
- Caustic_(mathematics) wikiPageWikiLink Line_(geometry).
- Caustic_(mathematics) wikiPageWikiLink Line_(mathematics).
- Caustic_(mathematics) wikiPageWikiLink Linear_system.
- Caustic_(mathematics) wikiPageWikiLink Manifold.
- Caustic_(mathematics) wikiPageWikiLink Orthotomic.
- Caustic_(mathematics) wikiPageWikiLink Parabola.
- Caustic_(mathematics) wikiPageWikiLink Pedal_curve.
- Caustic_(mathematics) wikiPageWikiLink Reflection_(mathematics).
- Caustic_(mathematics) wikiPageWikiLink Refracted.
- Caustic_(mathematics) wikiPageWikiLink Refraction.
- Caustic_(mathematics) wikiPageWikiLink Singularity_theory.
- Caustic_(mathematics) wikiPageWikiLink Subset.
- Caustic_(mathematics) wikiPageWikiLink Symplectic_geometry.
- Caustic_(mathematics) wikiPageWikiLink Symplectic_manifold.
- Caustic_(mathematics) wikiPageWikiLink File:Circle_caustic.png.
- Caustic_(mathematics) wikiPageWikiLinkText "Caustic (mathematics)".
- Caustic_(mathematics) wikiPageWikiLinkText "Caustic".
- Caustic_(mathematics) wikiPageWikiLinkText "caustic".
- Caustic_(mathematics) wikiPageWikiLinkText "caustics".
- Caustic_(mathematics) hasPhotoCollection Caustic_(mathematics).
- Caustic_(mathematics) title "Caustic".
- Caustic_(mathematics) urlname "Caustic".
- Caustic_(mathematics) wikiPageUsesTemplate Template:Differential_transforms_of_plane_curves.
- Caustic_(mathematics) wikiPageUsesTemplate Template:MathWorld.
- Caustic_(mathematics) wikiPageUsesTemplate Template:Other_uses.
- Caustic_(mathematics) wikiPageUsesTemplate Template:Reflist.
- Caustic_(mathematics) subject Category:Differential_geometry.
- Caustic_(mathematics) hypernym Envelope.
- Caustic_(mathematics) type AnatomicalStructure.
- Caustic_(mathematics) comment "In differential geometry and geometric optics, a caustic is the envelope of rays either reflected or refracted by a manifold. It is related to the concept of caustics in optics.".
- Caustic_(mathematics) label "Caustic (mathematics)".
- Caustic_(mathematics) sameAs Corba_càustica.
- Caustic_(mathematics) sameAs Kaŭstiko_(matematiko).
- Caustic_(mathematics) sameAs Kaustyka.
- Caustic_(mathematics) sameAs m.03l7z7.
- Caustic_(mathematics) sameAs Kavstika_(matematika).
- Caustic_(mathematics) sameAs Q3492725.
- Caustic_(mathematics) sameAs Q3492725.
- Caustic_(mathematics) wasDerivedFrom Caustic_(mathematics)?oldid=655157033.
- Caustic_(mathematics) depiction Circle_caustic.png.
- Caustic_(mathematics) isPrimaryTopicOf Caustic_(mathematics).