My research area is Differential Geometry, focused on Lie Theory and Generalized Geometry. I am mainly concerned with Generalized Geometry on Homogeneous Spaces. Particularly, I am interested in studying invariant objects on Flag Manifolds, analyzing several aspects such as existence, integrability, compatibility, etc.
For more details, see my CV here lattes.cnpq.br/1345893928783806.
Papers and Preprints:
V. Tsanov; C. Varea: Equivariant embeddings of flag manifolds with generalized complex structures. (work in progress)
E. Gasparim; L. Grama; C. Varea: The H-flux on flag manifolds generated by infinitesimal T-duality. (2024) Preprint on ArXiv https://arxiv.org/pdf/2308.12078
C. Ortiz; C. Varea: Complex Dirac structures with constant real index on flag manifolds. Annali di Matematica Pura ed Applicata, v. 203, p. 1093-1114, 2023.
F. Valencia; C. Varea: Invariant generalized almost complex structures on real flag manifolds. The Journal of Geometric Analysis, v. 32, p. 296, 2022.
E. Gasparim; F. Valencia; C. Varea: Invariant generalized complex geometry on maximal flag manifolds and their moduli. Journal of Geometry and Physics, v. 163, p. 104108, 2021.
E. Gasparim; C. Varea: Aplicações da teoria de Lie à geometria simplética. Boletim da Sociedade Paranaense de Matemática, v. 39, p. 141161, 2020.
C. Varea: Invariant generalized complex structures on partial flag manifolds. Indagationes Mathematicae-New Series, v. 31, p. 536-555, 2020.
C. Varea; L. San Martin: Invariant generalized complex structures on flag manifolds. Journal of Geometry and Physics, v. 150, p. 103610, 2020.
E. Gasparim; B. Suzuki; A. Torres-Gomez; C. Varea: Topological string patition functions on generalised conifolds. Journal of Mathematical Physics, v. 58, p. 042303, 2017.