Format:
v, 62 Seiten.
ISBN:
978-1-4704-4185-2
Series Statement:
Memoirs of the American Mathematical Society volume 265, number 1290 (seventh of 7 numbers)
Content:
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.
In:
no:DE-11-002506405
Additional Edition:
Erscheint auch als Online-Ausgabe ISBN 978-1-4704-6148-5
Language:
English
Author information:
Rosenberg, Harold 1941-
