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

Differential geometry of the Fermat ...

Hadnot, Jason.

Linked to FindBook

Google Book

Amazon

博客來

Differential geometry of the Fermat quartic surface.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Differential geometry of the Fermat quartic surface./
Author:	Hadnot, Jason.
Description:	126 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.
Contained By:	Dissertation Abstracts International74-07B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3536963
ISBN:	9781267959379

Differential geometry of the Fermat quartic surface.
Hadnot, Jason.

Differential geometry of the Fermat quartic surface. - 126 p.

Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.

Thesis (Ph.D.)--Boston University, 2013.

We examine the differential geometry of the Fermat Quartic surface X40+X43-X4 1-X42 = 0 in CP3 with induced Fubini-Study metric. We show that the differential equations of geodesics, when restricted to the real Fermat quartic surface inside the full complex quartic, can be reduced to two non-linear differential equations with rational coefficients along especially chosen geodesics. This simplification opens up the possibility of parametrizing these geodesics in terms of genus three Abelian integrals and their inversions. Furthermore the identity component of the differential Galois group of normal variational equation, derived from the geodesic equation along one of these selected curves, is SL(2, C ). By Morales-Ramis theory the Hamiltonian system defining the geodesic equations is not integrable in a neighborhood of this solution by meromorphic integrals.

ISBN: 9781267959379Subjects--Topical Terms:

515831
Mathematics.

Differential geometry of the Fermat quartic surface.
LDR:01718nam a2200277 4500 001 1960927
005 20140701144847.5
008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781267959379
035 $a (MiAaPQ)AAI3536963
035 $a AAI3536963
040 $a MiAaPQ $c MiAaPQ
100 1 $a Hadnot, Jason. $3 2096706
245 1 0 $a Differential geometry of the Fermat quartic surface.
300 $a 126 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.
500 $a Adviser: Emma Previato.
502 $a Thesis (Ph.D.)--Boston University, 2013.
520 $a We examine the differential geometry of the Fermat Quartic surface X40+X43-X4 1-X42 = 0 in CP3 with induced Fubini-Study metric. We show that the differential equations of geodesics, when restricted to the real Fermat quartic surface inside the full complex quartic, can be reduced to two non-linear differential equations with rational coefficients along especially chosen geodesics. This simplification opens up the possibility of parametrizing these geodesics in terms of genus three Abelian integrals and their inversions. Furthermore the identity component of the differential Galois group of normal variational equation, derived from the geodesic equation along one of these selected curves, is SL(2, C ). By Morales-Ramis theory the Hamiltonian system defining the geodesic equations is not integrable in a neighborhood of this solution by meromorphic integrals.
590 $a School code: 0017.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
690 $a 0405
690 $a 0364
710 2 $a Boston University. $3 1017454
773 0 $t Dissertation Abstracts International $g 74-07B(E).
790 $a 0017
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3536963