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The Compactification of a Minimal Submanifold In Euclidean Space by the Gauss Map
 

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 Chern-Osserman
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

  

Source: Anderson, Michael - Department of Mathematics, SUNY at Stony Brook

 

Collections: Mathematics