BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
Spectrum of the Laplacian on Hermitian Vector Bundles over Homogeneous Spaces
| 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)
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