Minimal disks and compact hypersurfaces in Euclidean space
Authors:
John Douglas Moore and Thomas Schulte
Journal:
Proc. Amer. Math. Soc. 94 (1985), 321-328
MSC:
Primary 53C40; Secondary 53C42
DOI:
https://doi.org/10.1090/S0002-9939-1985-0784186-7
MathSciNet review:
784186
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a smooth connected compact hypersurface in
-dimensional Euclidean space
, let
be the unbounded component of
, and let
be the principal curvatures of
with respect to the unit normal pointing into
. It is proven that if
, then
is simply connected.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1985-0784186-7
Article copyright:
© Copyright 1985
American Mathematical Society