Invariant Hermitian structures and geometric flows on homogeneous spaces

• Grant number: 23/13131-8
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2023
• End date: November 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Lino Anderson da Silva Grama
• Grantee: Lino Anderson da Silva Grama
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas

Abstract

The proposed project consists of applying the Lie theory, to the study of Riemannian and Hermitian geometry on Lie groups and homogeneous spaces.Among the proposed problems are the study of Hermitian curvature flows and the investigation of properties of the scalar curvature of almost Hermitian structures on homogeneous spaces. (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.; GALINDO, GIOVANE; GRAMA, LINO. Bundle-Type Sub-Riemannian Structures on Holonomy Bundles. TRANSFORMATION GROUPS, v. N/A, p. 22-pg., 2025-10-27. (18/13481-0, 22/10429-3, 23/13131-8)

CAVENAGHI, LEONARDO F.; GARCIA, CAROLINA; GRAMA, LINO; MARTIN, LUIZ A. B. SAN. Symmetric spaces as adjoint orbits and their geometries. REVISTA MATEMATICA COMPLUTENSE, v. 37, n. 3, p. 46-pg., 2024-03-21. (22/09603-9, 21/04065-6, 18/13481-0, 23/13131-8, 23/14316-1)

GRAJALES, BRIAN; GRAMA, LINO. Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands. Annali di Matematica Pura ed Applicata, v. 203, n. 6, p. 28-pg., 2024-05-13. (18/13481-0, 23/04083-0, 23/13131-8)