Minimal hypersurfaces in a nearly Kaehler 6-sphere

DOI10.1016/j.geomphys.2009.12.018zbMath1186.53070OpenAlexW1990027103MaRDI QIDQ962046

Sharief Deshmukh

Publication date: 1 April 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.12.018

zbMATH Keywords

scalar curvatureshape operatorminimal hypersurfaceseigenvalue of the Laplacian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Hypersurfaces in nearly Kaehler manifold \(\pmb {\mathbb {S}}^3 \times \pmb {\mathbb {S}}^3\) ⋮ Universal curvature identities. II. ⋮ First nonzero eigenvalue of a minimal hypersurface in the unit sphere ⋮ Real hypersurfaces of a complex space form ⋮ Real hypersurfaces of a complex projective space ⋮ First nonzero eigenvalue of a pseudo-umbilical hypersurface in the unit sphere ⋮ Real hypersurfaces in nearly Kaehler 6-sphere ⋮ Real hypersurfaces of a complex space form ⋮ Minimal hypersurfaces in nearly \(G_2\) manifolds

Cites Work

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• A note on the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere
• An estimate of the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere
• Chern's conjecture on minimal hypersurfaces
• Totally real submanifolds of \(S^6\)
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Compact hypersurfaces in a unit sphere
• Seminar on Differential Geometry. (AM-102)
• Totally Real Submanifolds in a 6-Sphere
• On compact minimal hypersurfaces in a sphere with constant scalar curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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