Degree Theory of Immersed Hypersurfaces

Graham Smith author Harold Rosenberg author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Jan '21

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Degree Theory of Immersed Hypersurfaces cover

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 $M$.

ISBN: 9781470441852

Dimensions: unknown

Weight: 145g

62 pages