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OverviewThe 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 DetailsAuthor: Harold Rosenberg , Graham SmithPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.145kg ISBN: 9781470441852ISBN 10: 1470441853 Pages: 62 Publication Date: 30 January 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  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. Table of ContentsReviewsAuthor InformationHarold Rosenberg, IMPA, Rio de Janeiro, Brazil. Graham Smith, Centre de Recerca Matematica, Barcelona, Spain. Tab Content 6Author Website:Countries AvailableAll regions |
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