On deformations of parallel G2 structures and almost contact metric structures
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Şirin Aktay
Abstract
It is known that manifolds with G2 structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallel G2 structure by a parallel vector field and investigate the properties of the almost contact metric structure obtained by the deformation of the G2 structure.
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© 2017 by Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Classification of 3-dimensional left-invariant almost paracontact metric structures
- On the topology of the spaces of curvature constrained plane curves
- On deformations of parallel G2 structures and almost contact metric structures
- A flag representation of projection functions
- A fundamental theorem for submanifolds of multiproducts of real space forms
- Intriguing sets of quadrics in PG(5, q)
- Successive radii and ball operators in generalized Minkowski spaces
- Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
- The Archimedean projection property
- Kernels of numerical pushforwards
- Modified classical flat Minkowski planes
Articles in the same Issue
- Frontmatter
- Classification of 3-dimensional left-invariant almost paracontact metric structures
- On the topology of the spaces of curvature constrained plane curves
- On deformations of parallel G2 structures and almost contact metric structures
- A flag representation of projection functions
- A fundamental theorem for submanifolds of multiproducts of real space forms
- Intriguing sets of quadrics in PG(5, q)
- Successive radii and ball operators in generalized Minkowski spaces
- Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
- The Archimedean projection property
- Kernels of numerical pushforwards
- Modified classical flat Minkowski planes
