Contact Geometry of Hyperbolic Equations of Generic Type

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2008
• Автор: The, D.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2008
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/149023
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Contact Geometry of Hyperbolic Equations of Generic Type / D. The // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 26 назв. — англ.

We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) and generic (class 7-7) hyperbolic equations, we use Cartan's equivalenc...