Hermitian geometry with torsion on principal bundles and applications

• Grant number: 22/10429-3
• Support Opportunities: Regular Research Grants
• Duration: November 01, 2022 - October 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Eder de Moraes Correa
• Grantee: Eder de Moraes Correa
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This research project has as its central theme the study of non-Kähler Hermitian geometry on principal bundles. By using tools from Riemannian submersion, Lie theory and abelian gauge theory, the aims of the project are the following: (I) establishing results related to the construction and classification of new examples of Hermitian metrics and connections with special properties of curvature and holonomy; (II) studying problems related to the evolution of geometric quantities through the flow of Hermitian metrics. (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)

CORREA, EDER M.. Kahler-Ricci flow on rational homogeneous varieties. Journal of Algebra, v. 629, p. 38-pg., 2023-09-01. (22/10429-3)