Type
Text
Type
Dissertation
Advisor
Lawson, Blaine | Chen, Xiuxiong | LeBrun, Claude | RoÄ ek, Martin.
Date
2017-05-01
Keywords
Mathematics | Calabi-Yau, collapsing, hyperkähler, Torelli | Calabi-Yau, collapsing, hyperkähler, Torelli
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76377
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
In this dissertation, a gravitational instanton is defined to be a complete non-compact hyperkähler 4-manifold with curvature decaying fast enough at infinity. Many examples of gravitational instantons have been constructed. The main result of this thesis is the proof that there are no more examples. | In this dissertation, a gravitational instanton is defined to be a complete non-compact hyperkähler 4-manifold with curvature decaying fast enough at infinity. Many examples of gravitational instantons have been constructed. The main result of this thesis is the proof that there are no more examples. | 124 pages
Recommended Citation
Chen, Gao, "Classification of gravitational instantons with faster than quadratic curvature decay" (2017). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2301.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2301