Ricci flow and geometric analysis on manifolds

• Thesis title in Czech: Ricciho tok a geometrická analýza na varietách
• Thesis title in English: Ricci flow and geometric analysis on manifolds
• Key words: Ricciho tok, Geometrická analýza na varietách
• English key words: Ricci flow, Geometric analysis on manifolds
• Academic year of topic announcement: 2014/2015
• Thesis type: diploma thesis
• Thesis language: angličtina
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: doc. RNDr. Petr Somberg, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 25.02.2015
• Date of assignment: 25.02.2015
• Confirmed by Study dept. on: 03.03.2015
• Date and time of defence: 15.09.2016 00:00
• Date of electronic submission: 12.09.2016
• Date of submission of printed version: 28.07.2016
• Date of proceeded defence: 15.09.2016
• Opponents: Mgr. Tomáš Salač, Ph.D.

Guidelines

Student se seznámí s pojmem Ricciho toku na
Riemannovských varietách, a pokusí se tento přístup
aplikovat na některé konkrétní geometrické konstrukce,
např. Poincare-Einsteinovu metriku.

References

P. Toppings, Lectures on the Ricci flow, http://homepages.warwick.ac.uk/~maseq/topping_RF_mar06.pdf,
R. Bampler - Ricci flow, Lecture Notes, http://web.stanford.edu/~cmad/Papers/RicciFlowNotes.pdf
John W. Morgan, Gang Tian, Ricci Flow and the Poincare Conjecture, http://arxiv.org/abs/math/0607607
Ch. Fefferman, R. Graham, Ambient metric, http://xxx.lanl.gov/pdf/0710.0919.pdf.