On Complex Lie Algebroids with Constant Real Rank

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Aguero, Dan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213532
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Complex Lie Algebroids with Constant Real Rank. Dan Aguero. SIGMA 21 (2025), 044, 25 pages

We associate a real distribution to any complex Lie algebroid that we call the distribution of real elements and a new invariant that we call real rank, given by the pointwise rank of this distribution. When the real rank is constant, we obtain a real Lie algebroid inside the original complex Lie al...