 
Summary: The Compactification of a Minimal Submanifold In
Euclidean Space by the Gauss Map
Michael T. Anderson*
Department of Mathematics
California Institute of Technology
Pasadena, CA 91125
* Partially supported by an N.S.F. Postdoctoral Fellowship.
 2 
§l. Introduction.
In a series of papers [14] · [15] · [6] · Osserman and ChernOsserman
proved a number of fundamental results on the structure of complete minimal
surfaces M2 . d' E3 d ENimmerse 1n an These results center about properties
of the Gauss map G and its relation to the geometry of M. Recall that G
associates to p E M the tangent plane TM
p
translated to the origin. considered
as an element of the Grassmannian G
2
~ · For instance. in (15] Osserman shows
·
