Twisted-Austere Submanifolds in Euclidean Space

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Ivey, Thomas A., Karigiannis, Spiro
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211165
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twisted-Austere Submanifolds in Euclidean Space. Thomas A. Ivey and Spiro Karigiannis. SIGMA 17 (2021), 023, 31 pages

A twisted-austere -fold ( , ) in ℝⁿ consists of a -dimensional submanifold of ℝⁿ together with a closed 1-form on , such that the second fundamental form A of and the 1-form satisfy a particular system of coupled nonlinear second-order PDE. Given such an object, the ''twisted c...