Invariant geometric structures on homogeneous spaces

• Grant number: 21/04003-0
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2021
• End date: July 31, 2023
• 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

Abstract

The proposed project consists of applying Lie theory, in particular semissimple Lie theory, to the study of symplectic and Hermitian geometry of homogeneous spaces.One of the proposed problems is the study of the geometry of the moduli space of $J$-holomorphic curves on homogeneous space; and the study of geometric formality on homogeneous space. (AU)

Scientific publications

(4)

(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)

GRAMA, LINO; OLIVEIRA, AILTON R.. Scalar Curvatures of Invariant Almost Hermitian Structures on Flag Manifolds with Two and Three Isotropy Summands. JOURNAL OF GEOMETRIC ANALYSIS, v. 33, n. 10, p. 35-pg., 2023-10-01. (21/04065-6, 18/13481-0, 21/04003-0)

LINO GRAMA; LEONARDO SORIANI. A remark about mirror symmetry of elliptic curves and generalized complex geometry. Proyecciones, v. 42, n. 2, p. 445-456, 2023-04-00. (21/04003-0, 13/04034-7)

GRAMA, LINO; OLIVEIRA, AILTON R.. Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds. Symmetry Integrability and Geometry-Methods and Applications, v. 17, p. 1-30, 2021. (21/04003-0, 18/13481-0)

GRAJALES, BRIAN; GRAMA, LINO.

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands

. JOURNAL OF GEOMETRY AND PHYSICS, v. 176, p. 31-pg., 2022-06-01. (21/04003-0, 18/13481-0)