Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere

DOI10.2748/tmj/1178224715zbMath0990.53014OpenAlexW2069083132MaRDI QIDQ1976494

Ryszard Deszcz, Luc Vrancken, Frankie Dillen, Leopold Verstraelen

Publication date: 12 August 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224715

zbMATH Keywords

almost complex structurenearly Kähler manifoldtubequasi-Einstein manifold

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (22)

Unnamed Item ⋮ Curvature properties of interior black hole metric ⋮ Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form ⋮ ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES ⋮ On quasi-Einstein spacetime with space-matter tensor ⋮ On pseudo \(Z\)-symmetric Lorentzian manifolds admitting a type of semi-symmetric metric connection ⋮ On the existence of a new class of semi-Riemannian manifolds ⋮ Some results on super quasi-Einstein manifolds ⋮ A Note on Some Generalized Curvature Tensor ⋮ On the six-dimensional sphere with a nearly Kählerian structure ⋮ Unnamed Item ⋮ Some results on generalized quasi-Einstein manifolds ⋮ Ruled Lagrangian submanifolds of the 6-sphere ⋮ On pseudo quasi-Einstein manifolds ⋮ Pseudo-Z symmetric space-times ⋮ On J-parallel totally real three-dimensional submanifolds of \(S^{6}\)(1) ⋮ Pseudo-Z symmetric space-times with divergence-free Weyl tensor and pp-waves ⋮ A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time ⋮ Geometry of 6-dimensional Hermitian manifolds of the octave algebra ⋮ Lagrangian submanifolds of the nearly Kähler 6-sphere and Chen’s equality ⋮ Lagrangian warped product immersions in \(\mathbb{S}^6\) ⋮ A new characterization of the Berger sphere in complex projective space

Cites Work

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• Calibrated geometries
• Contact manifolds in Riemannian geometry
• Framing the exceptional Lie group \(G_2\)
• Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures
• Minimal immersions of surfaces in Euclidean spheres
• Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\)
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• Equivariant Minimal Immersions of S 2 into S 2m (1)
• Totally Real Submanifolds in a 6-Sphere
• ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE
• Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality

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