Harmonic sections normal to submanifolds and their stability

DOI10.3836/tjm/1244208401zbMath1060.53070OpenAlexW1977839492WikidataQ125661858 ScholiaQ125661858MaRDI QIDQ1768115

Kazuyuki Hasegawa

Publication date: 14 March 2005

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208401

zbMATH Keywords

extrinsic sphereharmonic sectionconstant mean curvature hypersurfaceenergy of sectionminimal Legendrian submanifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items (3)

Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ On surfaces whose twistor lifts are harmonic sections ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts

Cites Work

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• Harmonic Gauss maps
• Geometry of certain first order differential operators and its applications to general connections
• Relationship between volume and energy of vector fields.
• Spectral decomposition of the mean curvature vector field of surfaces in a Sasakian manifold \(\mathbb{R}^{2n+1}(-3)\)
• Minimal and harmonic unit vector fields in \(G_2(\mathbb{C}^{m+2})\) and its dual space
• Energy and volume of unit vector fields on three-dimensional Riemannian manifolds.
• Total bending of vector fields on Riemannian manifolds
• The energy of Hopf vector fields
• Hypersurfaces in a sphere with constant mean curvature
• The Gauss Section of a Riemannian Immersion
• The Second Variation Formula for Harmonic Mappings
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields
• Minimality and harmonicity for Hopf vector fields

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