Contact geometry
id:
contact-geometry-173-3857127
title:
Contact geometry
text:
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'. Equivalently, such a distribution may be given as the kernel of a differential one-form, and the non-integrability condition translates into a maximal non-degeneracy condition on the form. These conditions are opposite to two equivalent conditions for 'complete integrability' of a hyperplane
brand slug:
wiki
category slug:
encyclopedia
description:
Branch of geometry
original url:
https://en.wikipedia.org/wiki/Contact_geometry
date created:
2004-02-19T12:10:21Z
date modified:
2024-09-02T01:06:09Z
main entity:
{"identifier":"Q1783105","url":"https://www.wikidata.org/entity/Q1783105"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/en/f/f5/Standard_contact_structure.svg","width":329,"height":149}
fields total:
13
integrity:
16