Invariant Hermitian structures and geometric flows on homogeneous spaces
BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
Geometry of manifolds in the euclidian space and in the Minkowski space
| Full text | |
| Author(s): |
Grama, Lino
;
Oliveira, Ailton R.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 33, n. 10, p. 35-pg., 2023-10-01. |
| Abstract | |
In this paper, we study invariant almost Hermitian geometry on generalized flag manifolds which the isotropy representation decompose into two or three irreducible components. We will provide a classification of such flag manifolds admitting Kahler like scalar curvature metric, that is, almost Hermitian structures (g, J) satisfying s = 2s(C) where s is Riemannian scalar curvature and s(C) is the Chern scalar curvature. (AU) | |
| FAPESP's process: | 21/04065-6 - BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability |
| Grantee: | Henrique Nogueira de Sá Earp |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 21/04003-0 - Invariant geometric structures on homogeneous spaces |
| Grantee: | Lino Anderson da Silva Grama |
| Support Opportunities: | Regular Research Grants |