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- W2044495670 abstract "We define and investigate pairs of ( p , q ) -conjugate submersions and – in particular – of ( p , q ) -conjugate functions. We show that conjugate submersions of the plane are p - and q -harmonic maps, respectively, if only 1 p + 1 q = 1 . We prove that, in the case on an arbitrary Riemannian manifold, the reciprocity formula holds, i.e., the product of moduli of foliations defined by conjugate submersions is equal to one. Moreover, the product of the moduli of foliations that are merely locally given by conjugate submersions is not greater than one." @default.
- W2044495670 created "2016-06-24" @default.
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- W2044495670 date "2014-10-01" @default.
- W2044495670 modified "2023-09-28" @default.
- W2044495670 title "On the modulus of level sets of conjugate submersions" @default.
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- W2044495670 doi "https://doi.org/10.1016/j.difgeo.2014.08.002" @default.
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