In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...

differential forms of degree 1 on odd-dimensional manifolds; see contact geometry. Contact transformations are related changes of coordinates, of importance...

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....

solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic...

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds...

derivative Lie derivative pullback (differential geometry) pushforward (differential) jet (mathematics) Contact (mathematics) jet bundle Frobenius theorem (differential...

There is also an analogous consequence of the theorem applied to contact geometry. Suppose that θ {\displaystyle \theta } is a differential 1-form on...

Contact geometry is in many ways an odd-dimensional counterpart of symplectic geometry, which belongs to the even-dimensional world. Both contact and...

exact Lagrangian immersions and similar objects in symplectic and contact geometry. His well-known book Partial Differential Relations collects most of...

Information Technology. Murphy works in the area of symplectic topology, contact geometry and geometric topology. Murphy graduated from the University of Nevada...

problem can be classified into two types based on the geometry of the area of contact. A conforming contact is one in which the two bodies touch at multiple...

topology, relative contact homology is an invariant of spaces together with a chosen subspace. Namely, it is associated to a contact manifold and one of...

Lie sphere geometry is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by...

Contact lenses, or simply contacts, are thin lenses placed directly on the surface of the eyes. Contact lenses are ocular prosthetic devices used by over...

Poisson manifold Antibracket algebra Hamiltonian constraint Moment map Contact geometry Analysis of flows Nambu mechanics Action (physics) Lagrangian Euler–Lagrange...

deformation. The contact area depends on the geometry of the contacting bodies, the load, and the material properties. The contact area between the two...

in symplectic spin geometry and symplectic topology, which have become important fields of mathematical research. Contact geometry Symplectic topology...

differential geometry C for global differential geometry D for symplectic geometry and contact geometry In addition, the special second-level code "-"...

altered freely, and the contact patch area is affected by the tire geometry and stiffness. Further, the size of the contact patch cannot be simply calculated...

Hamilton studied certain variational problems for Riemannian metrics in contact geometry. He also made contributions to the prescribed Ricci curvature problem...

mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...

loading conditions, including the magnitude of the load, contact pressure, and contact geometry. PCS Instruments Micro-pitting Rig (MPR) is a specialised...

compact contact manifold, its Reeb vector field should carry at least one periodic orbit. By definition, a level set of contact type admits a contact form...

Giroux (born 1961) is a blind French geometer known for his research on contact geometry and open book decompositions. Giroux has Marfan syndrome, because of...

name of Ricci calculus Absolute geometry Also called neutral geometry, a synthetic geometry similar to Euclidean geometry but without the parallel postulate...

Claire; Allen, Peter (March 2007). "Soft Finger Model with Adaptive Contact Geometry for Grasping and Manipulation Tasks". Second Joint EuroHaptics Conference...

ideas, i.e., in terms of tangent manifolds, symplectic manifolds and contact geometry. Bleecker's textbook provided a comprehensive presentation of field...

books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given below) that shows that contact geometry can be studied from an...

(Eds.). Collected Works, Volume IV: Singularities in Symplectic and Contact Geometry 1980–1985. Springer. 2023: Alexander B. Givental, Boris A. Khesin,...

contact with a solid surface Popov, Valentin L.; Pohrt, Roman; Li, Qiang (2017-09-01). "Strength of adhesive contacts: Influence of contact geometry and...