F-Harmonic Maps in Kahler Geometry

Simple item page
dc.contributor.advisorWei, Shihshu Walter
dc.contributor.authorNguyen, Huy
dc.contributor.committeeMemberRemling, Christian
dc.contributor.committeeMemberAlbert, John
dc.contributor.committeeMemberPrzebinda, Tomasz
dc.contributor.committeeMemberLiu, Nian
dc.date.accessioned2017-05-10T20:31:40Z
dc.date.available2017-05-10T20:31:40Z
dc.date.issued2017-05-12
dc.date.manuscript2017-05-08
dc.description.abstractLet u be an F-harmonic map between Kahler manifolds of finite dimensions. When is u holomorphic or anti-holomorphic? In the special case of a harmonic map, Y. T. Siu gave an affirmative answer when the target manifold is a Riemannian manifold of semi-strongly negative curvature. In other cases, such as p-harmonic and exponentially harmonic maps, answers to the above question were less satisfactory. For the general case of F-harmonic maps, this thesis investigates the holomorphicity of F-harmonic maps from a complex space form to a Kahler manifold and obtains Liouville-type theorems.en_US
dc.identifier.urihttp://hdl.handle.net/11244/50760
dc.languageen_USen_US
dc.subjectF-harmonic Mapsen_US
dc.subjectKahler Geometryen_US
dc.subjectLiouville type theoremsen_US
dc.subjectVariational formulas for F-harmonic mapsen_US
dc.thesis.degreePh.D.en_US
dc.titleF-Harmonic Maps in Kahler Geometryen_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US
shareok.nativefileaccessrestricteden_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
2017_Nguyen_Huy_Dissertation.pdf
Size:
464.39 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.72 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

OU - Dissertations