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- W1966698979 abstract "If G is a compact Lie group and M a Riemannian G manifold, then the orbit map Ft: M —► M/G is a stratified Riemannian submersion and the well-known cohomogeneity method pioneered by Hsiang and Lawson (HL) reduces the problem of finding codimension k minimal submanifolds of M to a related problem in M/G. We show that this reduction of variables technique depends only on a certain natural Riemannian geometric property of the map _I which we call /i-projectability and which is shared by certain other naturally occurring and important classes of Riemannian submersions. Suppose 971 is a manifold of smooth maps of a compact m-dimensional manifold M into an n-dimensional manifold TV, and J: UJI —> R is a Lagrangian calculus of variations functional on M, i.e. J( TV." @default.
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- W1966698979 date "1986-03-01" @default.
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- W1966698979 title "Reduction of variables for minimal submanifolds" @default.
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- W1966698979 doi "https://doi.org/10.1090/s0002-9939-1986-0857946-2" @default.
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