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Cohomology and other analytical aspects of RCD spaces

Candidate: 
Chiara Rigoni
Supervisor: 
Nicola Gigli
Academic Year: 
2016-2017
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Postdoc
University of Bonn
File: 
PDF icon PhD_Thesis_Chiara_Rigoni.pdf
Publication Related to the Thesis: 
  • N. Gigli and C. Rigoni, Recognizing the flat torus among $RCD^*(0,N)$ spaces via the study of the first cohomology group, (accepted by Calculus of Variation and Partial Differential Equations in 2018) 
  • N. Gigli and C. Rigoni, A note about the strong maximum principle on RCD spaces, (accepted by Canadian Mathematical Bulletin in 2018)

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