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- W1991411938 abstract "Biminimal immersions are critical points of the bienergy for normal variations with fixed energy, that is critical points of the functional E2(⋅)+λE(⋅), λ∈R, for normal variations. A submanifold is called a biminimal submanifold if it is a biminimal isometric immersion. In this note we prove that positive (that is λ>0) complete biminimal submanifolds in nonpositively curved manifolds are minimal. Furthermore for nonpositive (that is λ≤0) complete biminimal submanifolds in negative space forms we get this result under certain proper conditions. Our result is sharp by the examples from [14]. These results inspire us to make two conjectures on biminimal submanifolds." @default.
- W1991411938 created "2016-06-24" @default.
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- W1991411938 date "2014-08-01" @default.
- W1991411938 modified "2023-09-26" @default.
- W1991411938 title "On biminimal submanifolds in nonpositively curved manifolds" @default.
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- W1991411938 doi "https://doi.org/10.1016/j.difgeo.2014.05.001" @default.
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