Prolongation of (8, 15)-Distribution of Type ₄ by Singular Curves

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Ishikawa, Goo, Machida, Yoshinori
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214092
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Prolongation of (8, 15)-Distribution of Type ₄ by Singular Curves. Goo Ishikawa and Yoshinori Machida. SIGMA 21 (2025), 076, 20 pages

Cartan gives the model of (8, 15)-distribution with the exceptional simple Lie algebra ₄ as its symmetry algebra in his paper (1893), which was published one year before his thesis. In the present paper, we study abnormal extremals (singular curves) of Cartan's model from the viewpoints of sub-...