Generic jet evaluation transversality of contact instantons against contact distribution

2025/01/03 by Yong Suk Oh, Oh, Yomg-Geun
Engineering · #Fluid Dynamics and Heat Transfer #Traffic control and management

paper · pdf · doi:10.48550/arxiv.2501.04722

Abstract

For a given coorientable contact manifold (M,Ξ) with contact distribution Ξ, we consider its contact forms λ with ker λ= Ξ, and the associated contact triads (M,λ, J). For a generic choice of contact form λ, we prove the (0-jet) the interior and boundary evaluation maps, and the 1-jet transversality of contact instantons (against contact distribution, for example).

Related

• Bordered contact instantons and their Fredholm theory and generic transversalities
• Geometric structures on contactomorphism groups and contact rigidity in jet spaces
• Efficient construction of contact coordinates for partial prolongations
• A constructive generalised Goursat normal form
• Contact systems and corank one involutive subdistributions