Skip to main content
Home
Browse All
Log in

Favorites

Help

English
English
EngishPirate
한국어
Search
Advanced Search
Find results with:
error div
Add another field
Search by date
Search by date:
from
after
before
on
from:
to
to:
Searching collections:
CCSU Theses and Dissertations
Add or remove collections
Home
CCSU Theses & Dissertations
Weierstrass Representation for Minimal Surfaces
Reference URL
Share
Add tags
Comment
Rate
Save to favorites
Remove from favorites
To link to this object, paste this link in email, IM or document
To embed this object, paste this HTML in website
Weierstrass Representation for Minimal Surfaces
View Description
Download
small (250x250 max)
medium (500x500 max)
Large
Extra Large
large ( > 500x500)
Full Resolution
Print
2564.pdf
Description
Identifier
Thesis
2643
Author
Chadic, James, 1990
Title
Weierstrass
Representation
for
Minimal
Surfaces
Publisher
Central Connecticut State University
Date of Publication
2017
Resource Type
Master's Thesis
Abstract
An
important
aspect
when
studying
problems
in
mathematics
is
to have the
ability
and
flexibility
to
investigate
a
topic
from
several
perspectives
. In this
manuscript
we
will
demonstrate
a
bridge
between
the
theory
of
Minimal
Surfaces
(which
is
a
field
of
geometry)
and
Complex
Analysis
(which
is
a
field
of
analysis)
by
using
the
Weierstrass
Representation
method
.
We
will be
using
this
powerful
method
to
generate
minimal
surfaces
by
way
of
determining
the
holomorphic
functions
that
represent
some
well
known
minimal
surfaces
(such
as the
Helicoid
, the
Catenoid
, the
Enneper
Surface
,
etc.)
and by
using
variations
of these
functions
to
produce
other
minimal
surfaces
that would
satisfy
certain
desired
properties
.
It
can
be
shown
that
isothermal
coordinates
exist
for
every
minimal
surface
, but
even
though
the
existence
is
assured
,
it
is
very
challenging
to
actually
find
the
exact
expression
for an
isothermal
parametrization
of a
given
minimal
surface
. An
example
in that
sense
is
the
Helicoid
. This
is
historically
a
well
studied
minimal
surface
,
whose
most
natural
parametrization
X(u
;
v)
=
(u
cos(v)
;
u
sin(v)
;
v)
is
not an
isothermal
parametrizations
.
However
,
producing
its
isothermal
parametrization
is
very
difficult
, as
it
will be
shown
in the
project
. For
other
minimal
surfaces
,
it
is
still
an
open
problem
to
determine
their
isothermal
parametrization
, for
example
in
terms
of
elementary
functions
.
Notes
"
Submitted
in
Partial
Fulfillment
of the
Requirements
for the
Degree
of
Master
of
Arts
in
Mathematics.
";
Thesis
advisor
:
Nelson
Casteñeda.
;
M.A.,Central
Connecticut
State
University,,2017.
;
Includes
bibliographical
references
(leaves
121[122])
.
Subject
Minimal surfaces.
Department
Department of Mathematical Sciences
Advisor
Castañeda, Nelson
Type
Text
Software
System requirements: PC and World Wide Web browser.
Language
eng
OCLC number
1028992203
Rating
Tags
Add tags
for Weierstrass Representation for Minimal Surfaces
View as list

View as tag cloud

report abuse
Comments
Post a Comment
for
Weierstrass Representation for Minimal Surfaces
Your rating was saved.
you wish to report:
Your comment:
Your Name:
...
Back to top
Select the collections to add or remove from your search
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Select All Collections
C
CCSU Student Publications
CCSU Theses and Dissertations
G
GLBTQ Archives
M
Modern Language Oral Histories
O
O'Neill Archives Oral Histories
P
Polish American Pamphlets
Polish Posters
T
Treasures from the Special Collections
V
Veterans History Project
500
You have selected:
1
OK
Cancel