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- W2062808572 abstract "A triharmonic map is a critical point of the 3-energy in the space of smooth maps between two Riemannian manifolds. We study the generalized Chen’s conjecture for a triharmonic isometric immersion $$varphi $$ into a space form of non-positive constant curvature. We show that if the domain is complete and both the 4-energy of $$varphi $$ , and the $$L^4$$ -norm of the tension field $$tau (varphi )$$ , are finite, then such an immersion $$varphi $$ is minimal." @default.
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- W2062808572 date "2014-12-19" @default.
- W2062808572 modified "2023-10-03" @default.
- W2062808572 title "Triharmonic isometric immersions into a manifold of non-positively constant curvature" @default.
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- W2062808572 doi "https://doi.org/10.1007/s00605-014-0713-4" @default.
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