The Geometry of the Generalized Gauss Map is popular PDF and ePub book, written by David A. Hoffman in 1980, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Geometry of the Generalized Gauss Map can be Read Online from any device for your convenience.
The Geometry of the Generalized Gauss Map Book PDF Summary
This paper is devoted primarily to the study of properties of the Grassmannian of oriented 2-planes in [double-struck capital]R[superscript]n and to applications of these properties to understanding minimal surfaces in [double-struck capital]R[superscript]n via the generalized Gauss map. The extrinsic geometry of the Grassmannian, when considered as a submanifold of [double-struck capital]CP[superscript]n-2, is investigated, with special emphasis on the nature of the intersection of the Grassmannian with linear subspaces of [double-struck capital]CP[superscript]n-1. These results are the basis for a discussion of minimal surfaces that are degenerate in various ways; understanding the different types of degeneracy and their interrelations is a critical step toward obtaining a clear picture of the basic geometric properties of minimal surfaces in [double-struck capital]R[superscript]n.
Detail Book of The Geometry of the Generalized Gauss Map PDF
- Author : David A. Hoffman
- Release : 22 September 1980
- Publisher : American Mathematical Soc.
- ISBN : 9780821822364
- Genre : Mathematics
- Total Page : 113 pages
- Language : English
- PDF File Size : 8,5 Mb
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