The cohomology of left-invariant Cr structures of maximal rank on compact Lie groups

• Grant number: 19/22981-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: January 13, 2020
• End date: January 12, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Jorge Guillermo Hounie
• Grantee: Max Reinhold Jahnke
• Supervisor: Howard Jacobowitz
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Rutgers The State University of New Jersey, Camden, United States
• Associated to the scholarship: 19/09967-8 - Solvability and Regularity for Some Classes of PDEs, BP.PD

Abstract

Jean-Yves Charbonnel and Hella Ounaïes Khalgui classified all left-invariant CR structures of maximal rank on compact Lie groups. The goal of this project is to understand what are the analytical and geometrical consequences of this algebraic classification in the study of the differential complex associated to these involutive structures. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

JACOBOWITZ, HOWARD; JAHNKE, MAX REINHOLD. Levi-flat CR structures on compact Lie groups. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, v. 64, n. 1, p. 21-pg., 2023-07-01. (19/22981-0, 19/09967-8)