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- W4236533602 abstract "Let ${M^n}$ be a compact differentiable manifold and ${R^{n + k}}$ Euclidean space. A necessary and sufficient condition is given for an immersion $psi :{M^n} to {R^{n + k}}$ to be a stationary immersion for $J = smallint M_psi ^nlangle x - {x_c},x - {x_c}rangle$ dv subject to the side condition $V = smallint M_psi ^n$ dv= a fixed constant, where ${x_c}$ is the center of mass. In particular, minimal submanifolds of spheres satisfy this condition." @default.
- W4236533602 created "2022-05-12" @default.
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- W4236533602 date "1972-12-01" @default.
- W4236533602 modified "2023-10-14" @default.
- W4236533602 title "A Variational Problem for Submanifolds of Euclidean Space" @default.
- W4236533602 doi "https://doi.org/10.2307/2039181" @default.
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