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Deformation rigidity of the double Cayley Grassmannian
- Authors
- Kim, Shin-young; Park, Kyeong-Dong
- Issue Date
- Jun-2025
- Publisher
- Elsevier BV
- Keywords
- Deformation rigidity; Double Cayley Grassmannian; Prolongations of a linear Lie algebra; Variety of minimal rational tangents
- Citation
- Differential Geometry and its Application, v.99
- Indexed
- SCIE
SCOPUS
- Journal Title
- Differential Geometry and its Application
- Volume
- 99
- ISSN
- 0926-2245
1872-6984
- Abstract
- The double Cayley Grassmannian is a unique smooth equivariant completion with Picard number one of the 14-dimensional exceptional complex Lie group G2, and it parametrizes eight-dimensional isotropic subalgebras of the complexified bi-octonions. We show the rigidity of the double Cayley Grassmannian under Kähler deformations. This means that for any smooth projective family of complex manifolds over a connected base of which one fiber is biholomorphic to the double Cayley Grassmannian, all other fibers are biholomorphic to the double Cayley Grassmannian. © 2024
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