CYT and SKT Metrics on Compact Semi-Simple Lie Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Fino, Anna, Grantcharov, Gueo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211915
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: CYT and SKT Metrics on Compact Semi-Simple Lie Groups. Anna Fino and Gueo Grantcharov. SIGMA 19 (2023), 028, 15 pages

A Hermitian metric on a complex manifold (, ) of complex dimension n is called Calabi-Yau with torsion (CYT) or Bismut-Ricci flat, if the restricted holonomy of the associated Bismut connection is contained in SU(), and it is called strong Kähler with torsion (SKT) or pluriclosed if the associated f...