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