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• W1481777580 abstract "Suppose $M$ is a complete nonorientable minimal submanifold of a Riemannian manifold $N$. We derive a second variation formula for the area of $M$ with respect to certain perturbations, giving a sufficient condition for the instability of $M$. Some simple applications are given: we show that the totally geodesic $mathbb {R} mathbb {P}^{2}$ is the only stable surface in $mathbb {R} mathbb {P}^{3}$, and we show the non-existence of stable nonorientable cones in $mathbb {R}^{4}$. We reproduce and marginally extend some known results in the truly non-compact setting." @default.
• W1481777580 created "2016-06-24" @default.
• W1481777580 creator A5090016812 @default.
• W1481777580 date "1997-01-01" @default.
• W1481777580 modified "2023-09-24" @default.
• W1481777580 title "The second variation of nonorientable minimal submanifolds" @default.
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• W1481777580 doi "https://doi.org/10.1090/s0002-9947-97-01936-3" @default.
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