contact geometry
"Contact geometry" is a specialized field within differential geometry that deals with the study of certain structures on odd-dimensional manifolds.
🇺🇸 US Voice:
🇬🇧 UK Voice:
Definition
C2Differential Geometry
(technical, academic)A branch of mathematics focusing on the study of geometric structures on odd-dimensional manifolds defined by a specific type of non-integrable hyperplane field.
Example
- Contact geometry provides a framework for understanding the properties of certain types of manifolds in differential geometry.
- Researchers in contact geometry often explore the relationships between contact structures and other geometric forms.
C2Mathematics
(technical, academic)The study of hyperplane distributions in the tangent bundle of a manifold that are maximally non-integrable.
Example
- In mathematics, contact geometry is closely related to symplectic geometry but focuses on odd-dimensional spaces.
- Contact geometry plays a crucial role in various branches of mathematical physics.
Similar
Terms that have similar or relatively close meanings to "contact geometry":
complex geometryfinite geometryconformal geometryspherical geometrycombinatorial geometryabsolute geometryhyperbolic geometryaffine geometrygeometric tortoisegeometric pengreat circle