Variational problems for integral invariants of the second fundamental form of a map between pseudo-Riemannian manifolds

arXiv2204.10538MaRDI QIDQ6144561

Takashi Sakai, Yuichiro Sato, Rika Akiyama

Publication date: 5 January 2024

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

Full work available at URL: https://arxiv.org/abs/2204.10538

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Variational problems in infinite-dimensional spaces (58Exx)

Cites Work

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• Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
• On minimal immersions of \(R^2\) into \(S^n\)
• Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature
• Geometry of Hypersurfaces
• A Variational Problem Pertaining to Biharmonic Maps
• 2-harmonic maps and their first and second variational formulas
• Bi-harmonic maps and bi-Yang-Mills fields
• Minimal Surfaces of Constant Curvature in S n
• The kinematic formula in Riemannian homogeneous spaces
• Recent developments in δ-Casorati curvature invariants
• An Invariant of Conformal Mappings
• Kinematic formulas for integral invariants of degree two in real space forms
• On the Volume of Tubes
• The Gauss-Bonnet Theorem for Riemannian Polyhedra

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