RUcore: Rutgers University Community Repository
Singular harmonic maps into hyperbolic spaces and applications to general relativity
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Singular harmonic maps into hyperbolic spaces and applications to general relativity
Identifier
ETD_1578
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051388
Language
LanguageTerm
(authority = ISO639-2);
(type = code)
eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Mathematics
Subject
(ID = SBJ-1);
(authority = ETD-LCSH)
Topic
Harmonic maps
Subject
(ID = SBJ-1);
(authority = ETD-LCSH)
Topic
Hyperbolic spaces
Abstract
Harmonic maps with singular boundary behavior from a Euclidean domain into hyperbolic spaces arise naturally in the study of axially symmetric and stationary spacetimes in general relativity. In particular, the study of multi-black-hole configurations and the force between co-axially rotating black holes requires, as a first step, an analysis on the boundary regularity of the "next order term" of those harmonic maps. We carry out this analysis by considering those harmonic maps as solutions to some homogeneous divergence systems of partial differential equations with singular coefficients. We then apply our result to study the regularity of axially symmetric and stationary electrovac
spacetimes, which extends previous works by Weinstein and by Li and Tian. This dissertation is based on a preprint of the author.
spacetimes, which extends previous works by Weinstein and by Li and Tian. This dissertation is based on a preprint of the author.
PhysicalDescription
Form
(authority = gmd)
electronic resource
Extent
iv, 53 p.
InternetMediaType
application/pdf
InternetMediaType
text/xml
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references (p. 51-52)
Note
(type = statement of responsibility)
by Luc L. Nguyen
Name
(ID = NAME-1);
(type = personal)
NamePart
(type = family)
Nguyen
NamePart
(type = given)
Luc L.
Role
RoleTerm
(authority = RULIB);
(type = )
author
DisplayForm
Luc L. Nguyen
Name
(ID = NAME-2);
(type = personal)
NamePart
(type = family)
Li
NamePart
(type = given)
YanYan
Role
RoleTerm
(authority = RULIB);
(type = )
chair
Affiliation
Advisory Committee
DisplayForm
YanYan Li
Name
(ID = NAME-3);
(type = personal)
NamePart
(type = family)
Han
NamePart
(type = given)
Zheng-Chao
Role
RoleTerm
(authority = RULIB);
(type = )
internal member
Affiliation
Advisory Committee
DisplayForm
Zheng-Chao Han
Name
(ID = NAME-4);
(type = personal)
NamePart
(type = family)
Kiessling
NamePart
(type = given)
Michael
Role
RoleTerm
(authority = RULIB);
(type = )
internal member
Affiliation
Advisory Committee
DisplayForm
Michael Kiessling
Name
(ID = NAME-5);
(type = personal)
NamePart
(type = family)
Tian
NamePart
(type = given)
Gang
Role
RoleTerm
(authority = RULIB);
(type = )
outside member
Affiliation
Advisory Committee
DisplayForm
Gang Tian
Name
(ID = NAME-1);
(type = corporate)
NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB);
(type = )
degree grantor
Name
(ID = NAME-2);
(type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm
(authority = RULIB);
(type = )
school
OriginInfo
DateCreated
(point = );
(qualifier = exact)
2009
DateOther
(qualifier = exact);
(type = degree)
2009-05
Place
PlaceTerm
(type = code)
xx
RelatedItem
(type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
(type = local)
rucore19991600001
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T3KK9C06
Genre
(authority = ExL-Esploro)
ETD doctoral
Back to the top
Rights
RightsDeclaration
(AUTHORITY = GS);
(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
RightsEvent
(AUTHORITY = rulib);
(ID = 1)
Type
Permission or license
Detail
Non-exclusive ETD license
AssociatedObject
(AUTHORITY = rulib);
(ID = 1)
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Back to the top
Technical
ContentModel
ETD
MimeType
(TYPE = file)
application/pdf
MimeType
(TYPE = container)
application/x-tar
FileSize
(UNIT = bytes)
358400
Checksum
(METHOD = SHA1)
32ff8a5e9e8c38b38e46b7bfc8e8ef915ee349eb
Back to the top
Statistical Profile