Classification of slant surfaces in đť•Š3 Ă— â„ť
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Salvatore de Candia
und
Marian Ioan Munteanu
Abstract
We investigate slant surfaces in the almost Hermitian manifold đť•Š3 Ă— â„ť, considering the position of the Reeb vector field Îľ of the Sasakian structure on đť•Š3 with respect to the surfaces. We examine two cases: Îľ normal or tangent to the surfaces. In the first case, we prove that every surface is totally real. In the second case, we characterize and locally describe complex surfaces. Finally, we completely classify non-complex slant surfaces, giving explicit examples.
Communicated by: T. Leistner
Acknowledgements
The first author is a member of the INdAM group GNSAGA.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Topology of tropical moduli of weighted stable curves
- Classification of slant surfaces in đť•Š3 Ă— â„ť
- New dense superball packings in three dimensions
- Explicit computation of some families of Hurwitz numbers, II
- An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal property
- Moduli of stable sheaves supported on curves of genus three contained in a quadric surface
- Exceptional points for finitely generated Fuchsian groups of the first kind
- Tropical superelliptic curves
- Differentiability of projective transformations in dimension 2
- On pseudo-Einstein real hypersurfaces
- On the moduli spaces of singular principal bundles on stable curves
- Three-dimensional connected groups of automorphisms of toroidal circle planes
Artikel in diesem Heft
- Frontmatter
- Topology of tropical moduli of weighted stable curves
- Classification of slant surfaces in đť•Š3 Ă— â„ť
- New dense superball packings in three dimensions
- Explicit computation of some families of Hurwitz numbers, II
- An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal property
- Moduli of stable sheaves supported on curves of genus three contained in a quadric surface
- Exceptional points for finitely generated Fuchsian groups of the first kind
- Tropical superelliptic curves
- Differentiability of projective transformations in dimension 2
- On pseudo-Einstein real hypersurfaces
- On the moduli spaces of singular principal bundles on stable curves
- Three-dimensional connected groups of automorphisms of toroidal circle planes
