Showing items with similar title or keywords.

• Konformikuvaukset ja hyperbolinen metriikka 

  Heimari, Eero (2021)

  Tutkielmassa esitellään konformikuvauksia ja niiden merkitystä hyperbolisen geometrian malleissa erityisesti hyperbolisen metriikan suhteen. Tutkielmassa esitellään Poincarén kiekkomallin hyperbolinen metriikka ja tämän ...

• Uniformization with Infinitesimally Metric Measures 

  Rajala, Kai; Rasimus, Martti; Romney, Matthew (Springer, 2021)

  We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metric spaces X homeomorphic to R2R2. Given a measure μμ on such a space, we introduce μμ-quasiconformal maps f:X→R2f:X→R2, ...

• Reciprocal lower bound on modulus of curve families in metric surfaces 

  Rajala, Kai; Romney, Matthew (Suomalainen tiedeakatemia, 2019)

• Two‐dimensional metric spheres from gluing hemispheres 

  Ikonen, Toni (Wiley-Blackwell, 2022)

  We study metric spheres (Z,dZ) obtained by gluing two hemispheres of S2 along an orientation-preserving homeomorphism g:S1→S1, where dZ is the canonical distance that is locally isometric to S2 off the seam. We show that ...

• On the notion of parallel transport on RCD spaces 

  Gigli, Nicola; Pasqualetto, Enrico (European Mathematical Society Publishing House, 2020)

  We propose a general notion of parallel transport on RCD spaces, prove an unconditioned uniqueness result and existence under suitable assumptions on the space.