Address:
School of Mathematical Sciences, University of Adelaide, SA 5005, Australia
Eduard Čech Institute & Mathematical Institute, Charles University, Prague, Czech Republic
E-mail:
meastwoo@member.ams.org
katharina.neusser@gmail.com
Abstract: We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
AMSclassification: primary 53C17; secondary 53D10, 70G45.
Keywords: contact manifold, sub-Riemannian geometry, partial connection, pseudo-Hermitian geometry.
DOI: 10.5817/AM2016-5-277