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Degree Theory of Immersed Hypersurfaces (Memoirs of the American Mathematical Society)

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Description

About the Author Harold Rosenberg, IMPA, Rio de Janeiro, Brazil.Graham Smith, Centre de Recerca Matematica, Barcelona, Spain. Product Description 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: where $K$ is mean curvature, extrinsic curvature and special Lagrangian curvature and show that in all these cases, this number is equal to $-\chi(M)$, where $\chi(M)$ is the Euler characteristic of the ambient manifold $M$.

Product Specifications

Format
Paperback
Domain
Amazon UK
Release Date
30 June 2020
Listed Since
04 May 2020

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