Degree Theory of Immersed Hypersurfaces
Author:   Harold Rosenberg ,  Graham Smith
Publisher:   American Mathematical Society
ISBN:  

9781470441852


Pages:   62
Publication Date:   30 January 2021
Format:   Paperback
Availability:   In Print   Availability explained
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Degree Theory of Immersed Hypersurfaces


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Overview

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 $M$.

Full Product Details

Author:   Harold Rosenberg ,  Graham Smith
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.145kg
ISBN:  

9781470441852


ISBN 10:   1470441853
Pages:   62
Publication Date:   30 January 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Author Information

Harold Rosenberg, IMPA, Rio de Janeiro, Brazil. Graham Smith, Centre de Recerca Matematica, Barcelona, Spain.

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