Journal of Symplectic Geometry

Volume 15 (2017)

Number 4

Lagrangian submanifolds at infinity and their parametrization

Pages: 937 – 982



Sandro Coriasco (Dipartimento di Matematica, Università degli Studi di Torino, Italy)

René Schulz (Institut für Analysis, Leibniz Universität Hannover, Germany)


In this paper, we study a class of Lagrangian submanifolds which may be viewed as intersecting at infinity. They are objects naturally associated with a class of tempered oscillatory integrals. In this context, we prove the adapted versions of the classical theorems, such as parametrization results, as well as equivalence of phase functions.

Received 7 May 2015

Accepted 22 November 2016

Published 28 November 2017