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- Contact_geometry abstract "Contact form redirects here. For a web email form, see Form_(web)#Form-to-email_scripts.In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle and specified by a one-form, both of which satisfy a 'maximum non-degeneracy' condition called 'complete non-integrability'. From the Frobenius theorem, one recognizes the condition as the opposite of the condition that the distribution be determined by a codimension one foliation on the manifold ('complete integrability').Contact geometry is in many ways an odd-dimensional counterpart of symplectic geometry, which belongs to the even-dimensional world. Both contact and symplectic geometry are motivated by the mathematical formalism of classical mechanics, where one can consider either the even-dimensional phase space of a mechanical system or the odd-dimensional extended phase space that includes the time variable.".
- Contact_geometry thumbnail Standard_contact_structure.svg?width=300.
- Contact_geometry wikiPageExternalLink 0111118.
- Contact_geometry wikiPageExternalLink 0307242.
- Contact_geometry wikiPageExternalLink Contact_manifold.
- Contact_geometry wikiPageExternalLink theme3.py?level=1&index1=-265776.
- Contact_geometry wikiPageID "476398".
- Contact_geometry wikiPageRevisionID "586028922".
- Contact_geometry hasPhotoCollection Contact_geometry.
- Contact_geometry subject Category:Contact_geometry.
- Contact_geometry type Artifact100021939.
- Contact_geometry type Object100002684.
- Contact_geometry type PhysicalEntity100001930.
- Contact_geometry type Structure104341686.
- Contact_geometry type StructuresOnManifolds.
- Contact_geometry type Whole100003553.
- Contact_geometry type YagoGeoEntity.
- Contact_geometry type YagoPermanentlyLocatedEntity.
- Contact_geometry comment "Contact form redirects here. For a web email form, see Form_(web)#Form-to-email_scripts.In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle and specified by a one-form, both of which satisfy a 'maximum non-degeneracy' condition called 'complete non-integrability'.".
- Contact_geometry label "Contact geometry".
- Contact_geometry label "Contactmeetkunde".
- Contact_geometry label "Géométrie de contact".
- Contact_geometry label "Kontaktgeometrie".
- Contact_geometry label "Контактная структура".
- Contact_geometry label "切触几何".
- Contact_geometry sameAs Kontaktgeometrie.
- Contact_geometry sameAs Géométrie_de_contact.
- Contact_geometry sameAs 접촉기하학.
- Contact_geometry sameAs Contactmeetkunde.
- Contact_geometry sameAs m.02f3ww.
- Contact_geometry sameAs Q1783105.
- Contact_geometry sameAs Q1783105.
- Contact_geometry sameAs Contact_geometry.
- Contact_geometry wasDerivedFrom Contact_geometry?oldid=586028922.
- Contact_geometry depiction Standard_contact_structure.svg.
- Contact_geometry isPrimaryTopicOf Contact_geometry.
