東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Generalized complex structures on 4-...

Chen, Haojie.

Linked to FindBook

Google Book

Amazon

博客來

Generalized complex structures on 4-manifolds.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Generalized complex structures on 4-manifolds./
Author:	Chen, Haojie.
Description:	79 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567409
ISBN:	9781303192142

Generalized complex structures on 4-manifolds.
Chen, Haojie.

Generalized complex structures on 4-manifolds. - 79 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--University of Minnesota, 2013.

We study the existence of generalized complex structures on closed smooth four-manifolds in this thesis. We first prove an integrability theorem of generalized complex structures in terms of almost bihermitian structures. After reviewing the results of type zero and type two generalized complex structures, we prove the necessary and sufficient topological conditions for the existence of type one generalized complex structures on compact four-manifolds. We also obtain a nonexistence result of T2 -invariant untwisted generalized complex structures with mixed types on the four torus T4 . Finally, we prove a result about finite group actions on tamed almost complex four-manifolds.

ISBN: 9781303192142Subjects--Topical Terms:

515831
Mathematics.

Generalized complex structures on 4-manifolds.
LDR:01527nam a2200277 4500 001 1960971
005 20140701144855.5
008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781303192142
035 $a (MiAaPQ)AAI3567409
035 $a AAI3567409
040 $a MiAaPQ $c MiAaPQ
100 1 $a Chen, Haojie. $3 2096760
245 1 0 $a Generalized complex structures on 4-manifolds.
300 $a 79 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
500 $a Adviser: Tian-Jun Li.
502 $a Thesis (Ph.D.)--University of Minnesota, 2013.
520 $a We study the existence of generalized complex structures on closed smooth four-manifolds in this thesis. We first prove an integrability theorem of generalized complex structures in terms of almost bihermitian structures. After reviewing the results of type zero and type two generalized complex structures, we prove the necessary and sufficient topological conditions for the existence of type one generalized complex structures on compact four-manifolds. We also obtain a nonexistence result of T2 -invariant untwisted generalized complex structures with mixed types on the four torus T4 . Finally, we prove a result about finite group actions on tamed almost complex four-manifolds.
590 $a School code: 0130.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
690 $a 0405
690 $a 0364
710 2 $a University of Minnesota. $b Mathematics. $3 1675975
773 0 $t Dissertation Abstracts International $g 74-10B(E).
790 $a 0130
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567409