Introduction to Riemannian and Sub-Riemannian geometry
By Andrei A. Agrachev, Davide Barilari, Ugo V. Boscain. 2012
212 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/30afb77070aafcc0d59efb7adbe4550cbf644bf8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
Citations in the corpus
- Small time heat kernel asymptotics at the sub-Riemannian cut locus (2012, background): “For a more complete presentation one can see [3].”
- On the Hausdorff volume in sub-Riemannian geometry (2010, background): “See also [7] for a more detailed proof, using chronological calculus.”
- Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry (2011, unknown): “For details one can see [7, 14, 2].”
- A Formula for Popp’s Volume in Sub-Riemannian Geometry (2012, unknown): “For a more detailed introduction, see [1, 7, 13].”
- Sub-Riemannian interpolation inequalities (2017, methodology): “For self-containedness, we provide a proof in Appendix A, following the arguments of [ABB16b].”
- Sub-Riemannian Curvature in Contact Geometry (2015, methodology): “On a contact sub-Riemannian manifold or, in general, when there are no non-trivial abnormal extremals, the first conjugate time is separated from zero (see for instance [1, 3]) and, after its first conjugate time, geodesics lose local optimality.”