Abstract/Details

The generalized Gauss map of a maximal surface in a Lorentzian space

Hong, Seong-Kowan. 
 University of Connecticut ProQuest Dissertations Publishing,  1989. 9000801.

Abstract (summary)

The main objective of this dissertation is to explore some properties of the Gauss map of maximal surfaces. The following questions will be answered: (1) What can we tell about a totally umbilic spacelike surface? (2) What is the necessary and sufficient condition for M to be maximal in terms of Gauss map? (3) How can we generally represent a simply-connected maximal surface? (4) If the Gaussian image of a maximal surface lies in a proper subspace of CP$\sp{\rm n-1}$, how can we characterize it?

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
The generalized Gauss map of a maximal surface in a Lorentzian space
Author
Hong, Seong-Kowan
Number of pages
93
Degree date
1989
School code
0056
Source
DAI-B 50/08, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9798641869247
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9000801
ProQuest document ID
303752780
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303752780/abstract