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....

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

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

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

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

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

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...

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...

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...

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

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...

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...

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

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

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

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...

notion that appears in various domains of contact geometry including: in a contact manifold, given a contact 1-form α {\displaystyle \alpha } , the Reeb...

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

mathematician whose research fields include symplectic topology and contact geometry. He is currently a Professor of Mathematics at Pennsylvania State University...

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...

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

The contact angle (symbol θC) is the angle between a liquid surface and a solid surface where they meet. More specifically, it is the angle between the...

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...

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

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

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

Roman; Li, Qiang (2017-09-01). "Strength of adhesive contacts: Influence of contact geometry and material gradients". Friction. 5 (3): 308–325. doi:10...

Falleh, eds. (2022). Contact geometry of slant submanifolds. doi:10.1007/978-981-16-0017-3. ISBN 978-981-16-0016-6. Geometry of submanifolds and application...