Degree Theory of Immersed Hypersurfaces (eBook)

Harold Rosenberg (Autor)

eBook Download: PDF

62 Seiten
American Mathematical Society (Verlag)
978-1-4704-6148-5 (ISBN)

Infos

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 $M$.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-6148-X / 147046148X
• ISBN-13: 978-1-4704-6148-5 / 9781470461485