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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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      Book details

      Publisher American Mathematical Society
      Published 1/30/2021 12:00:00 AM
      ISBN-13 9781470441852
      978-1470441852
      ISBN-10 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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