We compute the asymptotic expansion of the volume of small sub-Riemannian balls in a contact 3‑dimensional manifold, and we express the first meaningful geometric coefficients in terms of geometric invariants of the sub-Riemannian structure.
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds / Barilari, Davide; Beschastnyi, Ivan; Lerario, Antonio. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 18:2(2020), pp. 355-384. [10.4310/JSG.2020.v18.n2.a1]
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds
Barilari, Davide;Beschastnyi, Ivan;Lerario, Antonio
2020-01-01
Abstract
We compute the asymptotic expansion of the volume of small sub-Riemannian balls in a contact 3‑dimensional manifold, and we express the first meaningful geometric coefficients in terms of geometric invariants of the sub-Riemannian structure.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
