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- W4308161772 abstract "In this paper, we investigate the stability problem of subelliptic harmonic maps with potential. First, we derive the first and second variation formulas for subelliptic harmonic maps with potential. As a result, it is proved that a subelliptic harmonic map with potential is stable if the target manifold has nonpositive curvature and the Hessian of the potential is nonpositive definite. We also give Leung type results which involve the instability of subelliptic harmonic maps with potential when the target manifold is a sphere of dimension $geq 3$." @default.
- W4308161772 created "2022-11-08" @default.
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- W4308161772 date "2022-11-02" @default.
- W4308161772 modified "2023-10-16" @default.
- W4308161772 title "On stability of subelliptic harmonic maps with potential" @default.
- W4308161772 doi "https://doi.org/10.48550/arxiv.2211.01151" @default.
- W4308161772 hasPublicationYear "2022" @default.
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