Degree theory of immersed hypersurfaces /
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...
Clasificación: | Libro Electrónico |
---|---|
Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence :
American Mathematical Society,
[2020].
|
Colección: | Memoirs of the American Mathematical Society ;
no. 1290. |
Temas: |
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}
> Spaces and manifolds of mappings (including nonlinear versio.
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}
> Infinite-dimensional manifolds
> Homotopy and topological q.
|
Acceso en línea: | Texto completo |
Sumario: | 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. |
---|---|
Descripción Física: | 1 online resource (v, 74 pages) |
Bibliografía: | Includes bibliographical references (pages 61-62). |
ISBN: | 147046148X 9781470461485 |