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Rigidity on Einstein Manifolds and S...

ProQuest Information and Learning Co.

Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions./
Author:	Qian, Lihai.
Description:	1 online resource (98 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
Contained By:	Dissertation Abstracts International78-11B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355026962

Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions.
Qian, Lihai.

Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions. - 1 online resource (98 pages)

Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

This thesis consists of three parts. Each part solves a geometric problem in geometric analysis using differential equations.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355026962Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions.
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008 190606s2017 xx obm 000 0 eng d
020 $a 9780355026962
035 $a (MiAaPQ)AAI10277540
035 $a (MiAaPQ)cornellgrad:10265
035 $a AAI10277540
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Qian, Lihai. $3 1180724
245 1 0 $a Rigidity on Einstein Manifolds and Shrinking Ricci Solitons in High Dimensions.
264 0 $c 2017
300 $a 1 online resource (98 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
500 $a Adviser: Xiaodong Cao.
502 $a Thesis (Ph.D.) $c Cornell University $d 2017.
504 $a Includes bibliographical references
520 $a This thesis consists of three parts. Each part solves a geometric problem in geometric analysis using differential equations.
520 $a The first part gives a rigidity result to high dimensional positive Einstein manifolds, by controlling the upper bound of the integration of Weyl tensor.
520 $a Part of the idea of the second part came from the new weighted Yamabe invariant from [4]. According to the definition, we can show a rigidity theorem to highdimensional compact shrinking Ricci solitons.
520 $a The third part is an analytical result to 4-dimensional Ricci solitons. By the Weitzenbock for Ricci solitons introduced in [5], we proved an integral version of the Weitzenbock formula.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Cornell University. $b Mathematics. $3 1180725
773 0 $t Dissertation Abstracts International $g 78-11B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10277540 $z click for full text (PQDT)

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