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- W3125479022 abstract "We study the relationship between quasi-homotopy and path homotopy for Sobolev maps between manifolds. By employing singular integrals on manifolds we show that, in the critical exponent case, path homotopic maps are quasi-homotopic – and observe the rather surprising fact that quasi-homotopic maps need not be path homotopic. We also study the case where the target is an aspherical manifold, e.g. a manifold with non-positive sectional curvature, and the contrasting case of the target being a sphere." @default.
- W3125479022 created "2021-02-01" @default.
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- W3125479022 date "2021-04-01" @default.
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- W3125479022 title "Path and quasi-homotopy for Sobolev maps between manifolds" @default.
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- W3125479022 doi "https://doi.org/10.1016/j.jfa.2021.108935" @default.
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