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Book Synopsis
The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function. They apply this theory to count the (algebraic) number of immersed hyperspheres in various cases.

Degree Theory of Immersed Hypersurfaces

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A Paperback by Harold Rosenberg, Graham Smith

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    View other formats and editions of Degree Theory of Immersed Hypersurfaces by Harold Rosenberg

    Publisher: MP-AMM American Mathematical
    Publication Date: 1/30/2021 12:00:00 AM
    ISBN13: 9781470441852, 978-1470441852
    ISBN10: 1470441853
    Also in:
    Topology

    Description

    Book Synopsis
    The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function. They apply this theory to count the (algebraic) number of immersed hyperspheres in various cases.

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