nLab Andreas Čap

• webpage

Selected writings

On parabolic geometry (and Cartan geometry):

• Andreas Čap, H. Schichl: Parabolic Geometries and Canonical Cartan Connections, Hokkaido Math. J. 29 3 (2000) 453-505 [pdf]

• Andreas Čap: Two constructions with parabolic geometries [arXiv:0504389rbrack;

• Felipe Leitner, part 1, section 5 of Applications of Cartan and Tractor Calculus to Conformal and CR-Geometry (2007) [pdf]

• Andreas Čap, Jan Slovák: Parabolic Geometries I – Background and General Theory, AMS (2009) [ams:surv-154]

Relation to twistor spaces:

• Andreas Čap: Correspondence spaces and twistor spaces for parabolic geometries, J. Reine Angew. Math. 582 (2005) 143-172 [arXiv:math/0102097]

On Chern-Simons forms:

• Andreas Čap, Keegan J. Flood, Thomas Mettler: Flat extensions and the Chern-Simons 3-form (2024) [arXiv:2409.12811]

Related entries

• parabolic geometry

  • conformal geometry

  • CR geometry

• Cartan connection

• twistor space

category: people