King Saud University
  Help (new window)
Search


Guidelines_English_Final
تحميل الدليل التدريبي

أسئلة شائعة


 

M-700 signifies the thesis work of a Ph.D. student. At present there are two students working for Ph. D. thesis under my supervision: 

1)    

2)    1) The student Suha Al-Shaikh is working on the topic “Geometry of the tangent bundle of a hypersurface of a Euclidean space”. The tangent budle of a Euclidean space  is Euclidean space of dimension twice that of the base Euclidean space and the differential of the immersion map of a hypersurface in a Euclidean space is the immersion of the tangent bundle in the Euclidean space (which is the tangent bundle of the base Euclidean space) this gives the induced metric on the tangent bundle of the hypersurface.  This student is utilizing this idea to explore the geometry of the tangent bundle of the hypersurface.

 

3)     2) The student Hana Al-Sudais  is working on the topic "Geometry of Ricci soliton". Ricci solitons are non-trivial solutions of the Ricci flow and they have been employed by Perelman to settle the century old Poincare' conjecture. Since then geometry of Ricci soliton is subject of interest to so many mathematicians. This student is interested in the geometry of Ricci soliton.

 

Links:

http://en.wikipedia.org/wiki/Tangent_bundle

http://www.wisdom.weizmann.ac.il/~yakov/Geometry/3.pdf

http://citeseer.ist.psu.edu/

http://www.ingentaconnect.com/content/klu/apom/1998/00000043/00000004/00420336

http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=300113

http://en.wikipedia.org/wiki/Ricci_flow

http://www.renyi.hu/~stipsicz/perelman/ivey.pdf

http://www.math.ohio-state.edu/~andrzej/preprints/pams.pdf

http://iveyt.people.cofc.edu/papers/nwarp.pdf

http://www.ma.utexas.edu/users/danknopf/

http://www.lehigh.edu/huc2/public/www-data/pub.html

 

 

 MATH700

RicciflowandPoincareConByMorgan.pdfRicciflowandPoincareConByMorganشريف صادق دشموخ
AcompleteproofofPoincareConjecture.pdfAcompleteproofofPoincareConjectureشريف صادق دشموخ
tangentbundlerevisedlatex.pdftangentbundlerevisedlatexشريف صادق دشموخ
paper.pdfpaperشريف صادق دشموخ
King   Saud University. All rights reserved, 2007 | Disclaimer | CiteSeerx