Degree Theory of Immersed Hypersurfaces Paperback / softback
by Harold Rosenberg, Graham Smith
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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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 $M$.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:62 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/2021
- Category:
- ISBN:9781470441852
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:62 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/2021
- Category:
- ISBN:9781470441852