Minimal Surfaces in Riemannian Manifolds

Erscheinungsjahr 1993
ISBN: 978-0-8218-2560-0
Verlag: American Mathematical Society

Buch, Englisch, 50 Seiten, Format (B × H): 180 mm x 255 mm, Gewicht: 142 g

This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard $n$-sphere, there exist at least two minimal surfaces bounded by the curve.

Autoren/Hrsg.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines